332354 + Interview Questions in Secondary School in Math Page 13 InterviewSolution

601.	Help my sister answer this question.
Answer» ANSWER: OKKK I will TRY for this QUESTION

601.

Help my sister answer this question.

Answer»

602.	The length of a rectangle is greater than the breadth by 3 cm. If the length and breadth areincreased by 9 cm and the breadth is reduced by 5cm, the area remains the same Find the dimensions of the rectangle
Answer» SORRY your QUESTION is WRONG

Discussion

603.	AEngineering Mechanics SPPUQ.2(0) A 1.5 kg collar is attached to a spring and slideswithout friction along a circular rod inhorizontal plane. The spring has an undeformedlength of 150 mm and a constant k = 400 N/m.Knowing that the collar is in equilibrium at Aand is given a slight push to get moving,determine the velocity of the collar as it passespoint B. Refer Fig. 5:(4 Marks)Q. 3(b) Theload:CBbefosup
Answer» ANSWER: FOLLOW me GUYS on INSTAGRAM

603.

AEngineering Mechanics SPPUQ.2(0) A 1.5 kg collar is attached to a spring and slideswithout friction along a circular rod inhorizontal plane. The spring has an undeformedlength of 150 mm and a constant k = 400 N/m.Knowing that the collar is in equilibrium at Aand is given a slight push to get moving,determine the velocity of the collar as it passespoint B. Refer Fig. 5:(4 Marks)Q. 3(b) Theload:CBbefosup

Answer»

ANSWER:

FOLLOW me GUYS on INSTAGRAM

Discussion

604.	Answer please .... ♥explanation needed don't spam❌copy and paste❌ strictly reported
Answer» ANSWER: ANS is B PART EXPLANATION in pic. Hope it is understandable. Inbox me if you can.

604.

Answer please .... ♥explanation needed don't spam❌copy and paste❌ strictly reported

Answer»

ANSWER:

ANS is B PART

EXPLANATION in pic.

Hope it is understandable.

Inbox me if you can.

Discussion

605.	Good bye all....I'm fading in the cloud of sadness:(plz dnt ask me the reason...:(
Answer» ANSWER: why what HAPPENED don't be SAD

605.

Good bye all....I'm fading in the cloud of sadness:(plz dnt ask me the reason...:(

Answer»

ANSWER:

why

what HAPPENED

don't be SAD

Discussion

606.	10 সবসু। ল_সামের র-দণ্ড০) x2+x + = 0 সীর, শখ ধণে ৬ ন পদ?
Answer» Step-by-step EXPLANATION: write the question clearly and correctly GET the ANSWER IMMEDIATELY

606.

10 সবসু। ল_সামের র-দণ্ড০) x2+x + = 0 সীর, শখ ধণে ৬ ন পদ?

Answer»

Step-by-step EXPLANATION:

write the question clearly and correctly GET the ANSWER IMMEDIATELY

Discussion

607.	What is the 10th term of the AP: 5, 8, 11, 14, ... ?
Answer» ANSWER: Correct answer is A 32 Is 51 a term of the AP 5, 8, 11, 14,…?

607.

What is the 10th term of the AP: 5, 8, 11, 14, ... ?

Answer»

ANSWER:

Correct answer is A 32

Is 51 a term of the AP 5, 8, 11, 14,…?

Discussion

608.	Factor:- x^6+4x^3–1
Answer» Step-by-step EXPLANATION: x^6+4x^3–1 =(x^3)^2+2x^32+(2)^2 —5 =(x^3+2)^2 —5 =(x^3+2)^2 —(√5)^2 =(x^3+2+√5)(x^3+2—√5)

608.

Factor:- x^6+4x^3–1

Answer»

Step-by-step EXPLANATION:

x^6+4x^3–1

=(x^3)^2+2*x^3*2+(2)^2 —5

=(x^3+2)^2 —5

=(x^3+2)^2 —(√5)^2

=(x^3+2+√5)(x^3+2—√5)

Discussion

609.	A dataCollected onnumerically measurablecharacteristics is known as....
Answer» A data collected on NUMERICALLY measurable CHARACTERISTICS is KNOWN as STATISTICS.

Discussion

610.	The scale on a map is 1 : 25 000How many kilometers on the ground is represented by 9cm on the map?Please I beg you help me and describe it like say how did you do it please!!!!
Answer» 1:25000 BASICALLY means 1cm on map is 25000km so 9cm is 25000*9 km ans 224000 km hope it helps:)

610.

The scale on a map is 1 : 25 000How many kilometers on the ground is represented by 9cm on the map?Please I beg you help me and describe it like say how did you do it please!!!!

Answer»

1:25000 BASICALLY means

1cm on map is 25000km

so 9cm is 25000*9 km

ans 224000 km

hope it helps:)

Discussion

611.	EXERCISE 111. Divide. Give the answer in the lowest terms.V +12or + 3b) 15
Answer» ANSWER: I am SORRY I don't KNOW the answer

611.

EXERCISE 111. Divide. Give the answer in the lowest terms.V +12or + 3b) 15

Answer»

ANSWER:

I am SORRY I don't KNOW the answer

Discussion

612.	If x-iy =prove that
Answer» Answer: just a few DAYS later this morning someone CALLED a friend and SAID he was going to call you and ASK if he had a good time for him to call him and he said he was going to call him.

612.

If x-iy =prove that

Answer»

Answer:

just a few DAYS later this morning someone CALLED a friend and SAID he was going to call you and ASK if he had a good time for him to call him and he said he was going to call him.

Discussion

613.	4(3x+4y)²+12(3x+4y)(2x+5y)+9(2x+5y)²
Answer» ANSWER: asscociate PROPERTY of addition Step-by-step EXPLANATION:

613.

4(3x+4y)²+12(3x+4y)(2x+5y)+9(2x+5y)²

Answer»

ANSWER:

asscociate PROPERTY of addition

Step-by-step EXPLANATION:

Discussion

614.	9/ (x-1)× (x+2)^2 into partial fraction
Answer» Answer: 2x^2+x+4 Step-by-step EXPLANATION: i HOPE this is USEFUL for you

614.

9/ (x-1)× (x+2)^2 into partial fraction

Answer»

Answer:

2x^2+x+4

Step-by-step EXPLANATION:

i HOPE this is USEFUL for you

Discussion

615.	Pls answer fast to this question
Answer» ANSWER: QUESTIONS is not CLEAR

615.

Pls answer fast to this question

Answer»

ANSWER:

QUESTIONS is not CLEAR

Discussion

616.	Which law are used commonly in the study of logic a branch of mathematics
Answer» Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It bears CLOSE connections to metamathematics, the foundations of mathematics, and theoretical computer science.[1] The unifying themes in mathematical logic include the study of the expressive power of formal systems and the deductive power of formal proof systems. Mathematical logic is often divided into the fields of set theory, model theory, recursion theory, and proof theory. These areas share basic results on logic, particularly first-order logic, and DEFINABILITY. In computer science (particularly in the ACM Classification) mathematical logic encompasses additional topics not detailed in this article; see Logic in computer science for those. Since its inception, mathematical logic has both contributed to, and has been motivated by, the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in PROVING consistency. Work in set theory showed that almost all ordinary mathematics can be formalized in terms of sets, although there are some theorems that cannot be proven in common axiom systems for set theory. Contemporary work in the foundations of mathematics often focuses on establishing which parts of mathematics can be formalized in particular formal systems (as in reverse mathematics) rather than trying to FIND theories in which all of mathematics can be developed.

616.

Which law are used commonly in the study of logic a branch of mathematics

Answer»

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It bears CLOSE connections to metamathematics, the foundations of mathematics, and theoretical computer science.[1] The unifying themes in mathematical logic include the study of the expressive power of formal systems and the deductive power of formal proof systems.

Mathematical logic is often divided into the fields of set theory, model theory, recursion theory, and proof theory. These areas share basic results on logic, particularly first-order logic, and DEFINABILITY. In computer science (particularly in the ACM Classification) mathematical logic encompasses additional topics not detailed in this article; see Logic in computer science for those.

Since its inception, mathematical logic has both contributed to, and has been motivated by, the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in PROVING consistency. Work in set theory showed that almost all ordinary mathematics can be formalized in terms of sets, although there are some theorems that cannot be proven in common axiom systems for set theory. Contemporary work in the foundations of mathematics often focuses on establishing which parts of mathematics can be formalized in particular formal systems (as in reverse mathematics) rather than trying to FIND theories in which all of mathematics can be developed.

Discussion

617.	Add5a+3b,a-2b and+5b
Answer» Answer: 6a+6b Step-by-step EXPLANATION: = 5a+3b+a-2b+5b =5a+a+3b+5b-2b =6a+6b

617.

Add5a+3b,a-2b and+5b

Answer»

Answer:

6a+6b

Step-by-step EXPLANATION:

= 5a+3b+a-2b+5b

=5a+a+3b+5b-2b

=6a+6b

Discussion

618.	Q-1 find the value ofXif√x+2/2+2 Jx+2/2+2 = x
Answer» answer will be underroot 2 only

Discussion

619.	0 - 5,0 -55,0 -65,0 -8____
Answer» Answer: 80, 55 Step-by-step EXPLANATION:

619.

0 - 5,0 -55,0 -65,0 -8____

Answer»

Answer:

80, 55

Step-by-step EXPLANATION:

Discussion

620.	Solve this By elimination method3n-uy = 86.anthy-Solve this night I ganethanks
Answer» ANSWER: to solve this question 2 more equation R required so PLS check the question

620.

Solve this By elimination method3n-uy = 86.anthy-Solve this night I ganethanks

Answer»

ANSWER:

to solve this question 2 more equation R required

so PLS check the question

Discussion

621.	36,18,20,10,12,6,... Find the missing one1.28 2.18 3.8 4.9 5.14
Answer» ANSWER: THANKS for FREE POINT FOLLOW me

621.

36,18,20,10,12,6,... Find the missing one1.28 2.18 3.8 4.9 5.14

Answer»

ANSWER:

THANKS for FREE POINT FOLLOW me

Discussion

622.	URGENT!!Please don't spam!
Answer» ANSWER: HOPE this ATTACHMENT HELP you ❤️

622.

URGENT!!Please don't spam!

Answer»

ANSWER:

HOPE this ATTACHMENT HELP you ❤️

Discussion

623.	एक घन जिसका आयतन 1000 सेंटीमीटर है कुल क्षेत्रफल बताइए
Answer» Step-by-step EXPLANATION: didfudfifgichpxhpxuffgidphdpgdphzpyz9

623.

एक घन जिसका आयतन 1000 सेंटीमीटर है कुल क्षेत्रफल बताइए

Answer»

Step-by-step EXPLANATION:

didfudfifgichpxhpxuffgidphdpgdphzpyz9

Discussion

624.	Which number property did Rashal use to rewrite the expression?
Answer» ANSWER: ASSOCIATIVE property Step-by-step EXPLANATION: HOPE it HELPS ✌️✌️✌️✌️

624.

Which number property did Rashal use to rewrite the expression?

Answer»

ANSWER:

ASSOCIATIVE property

Step-by-step EXPLANATION:

HOPE it HELPS ✌️✌️✌️✌️

Discussion

625.	In a right angled triangle the other two angles are always less than
Answer» Answer: Step-by-step explanation: In a right ANGLED TRIANGLE, the angle opposite To the hypotenuse is 90°, while other two ANGLES are Always less than 90°. As you know that the side opposite to the largest angle is always the largest in a triangle. A right triangle has one angle equal to 90 DEGREES. A right triangle can also be an isosceles triangle--which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. ... The Egyptians used this triangle for land surveying. Thank me. Please MARK me as Brainliest!!

625.

In a right angled triangle the other two angles are always less than

Answer»

Answer:

Step-by-step explanation:

In a right ANGLED TRIANGLE, the angle opposite To the hypotenuse is 90°, while other two ANGLES are Always less than 90°. As you know that the side opposite to the largest angle is always the largest in a triangle.

A right triangle has one angle equal to 90 DEGREES. A right triangle can also be an isosceles triangle--which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. ... The Egyptians used this triangle for land surveying.

Thank me.

Please MARK me as Brainliest!!

Discussion

626.	You deposit $4000 each year into an account earning 6% interest compounded annually. How much will you have in the account in 15 years?
Answer» ANSWER: $7600 Step-by-step EXPLANATION: FORMULA:PRT/100 4000×6×15/100 =$7600

626.

You deposit $4000 each year into an account earning 6% interest compounded annually. How much will you have in the account in 15 years?

Answer»

ANSWER:

$7600

Step-by-step EXPLANATION:

FORMULA:PRT/100

4000×6×15/100

=$7600

Discussion

627.	Class 10 math Chapter 3 practice math
Answer» What do you NEED from me I didn't UNDERSTAND the question I'm here to HELP you❤❤❤

627.

Class 10 math Chapter 3 practice math

Answer»

What do you NEED from me

I didn't UNDERSTAND the question

I'm here to HELP you❤❤❤

Discussion

628.	Log , log , log \| 256 -এর মান কত হবে হিসাব করি।
Answer» ANSWER: MARK me as brainliest. Step-by-step EXPLANATION:

628.

Log , log , log | 256 -এর মান কত হবে হিসাব করি।

Answer»

ANSWER:

MARK me as brainliest.

Step-by-step EXPLANATION:

Discussion

629.	The amount of Rs. 2p in 1 years at the rate of simple interest of % per annum isRs. (2p+).>If u roote the equation are the tratare reciprocal to each other
Answer» Answer: 212/100=4/100=1/25

629.

The amount of Rs. 2p in 1 years at the rate of simple interest of % per annum isRs. (2p+).>If u roote the equation are the tratare reciprocal to each other

Answer»

Answer:

2*1*2/100=4/100=1/25

Discussion

630.	(8/2+1/2)×(1/2×3/2)slove the question
Answer» $\huge\tt\colorbox{pink}{AnSwEr}$ $= ( \frac{8}{2} + \frac{1}{2} ) \times ( \frac{1}{2 } \times \frac{3}{2} )$ $= (\frac{8 + 1}{2} ) \times ( \frac{1 \times 3}{2 \times 2} )$ $= \frac{9}{2} \times \frac{3}{4}$ $\bold{= \frac{27}{8}}$

630.

(8/2+1/2)×(1/2×3/2)slove the question

Answer»

$\huge\tt\colorbox{pink}{AnSwEr}$

$= ( \frac{8}{2} + \frac{1}{2} ) \times ( \frac{1}{2 } \times \frac{3}{2} )$

$= (\frac{8 + 1}{2} ) \times ( \frac{1 \times 3}{2 \times 2} )$

$= \frac{9}{2} \times \frac{3}{4}$

$\bold{= \frac{27}{8}}$

Discussion

631.	Construct a triangle angle ab = 7.2 to angle b = 60° angle bc = 6.3 CM
Answer» ANSWER: tangent Step-by-step EXPLANATION: ... ...... ..... .. 90°is RIGHT ANGLE

631.

Construct a triangle angle ab = 7.2 to angle b = 60° angle bc = 6.3 CM

Answer»

ANSWER:

tangent

Step-by-step EXPLANATION:

...

......

.....

..

90°is RIGHT ANGLE

Discussion

632.	Need explanation for subtract 100 on abacus means putting two beads in the 100's spike
Answer» पद-परिचय को समझने से पहले शब्द ... परिचय देना ही पद-परिचय कहलाता ... क्रियाविशेषण – मैं अभी और ...

632.

Need explanation for subtract 100 on abacus means putting two beads in the 100's spike

Answer»

पद-परिचय को समझने से पहले शब्द ... परिचय देना ही पद-परिचय कहलाता ... क्रियाविशेषण – मैं अभी और ...

Discussion

633.	please yrr ye meet ke link post mat karo pls. tum ye sab likh kar smart dikhna chahate ho lekin kabhi kisi ladki par kya bitegi socha hai?
Answer» ANSWER: YES I SUPPORT you sir/mam. this APP is for STUDIES

633.

please yrr ye meet ke link post mat karo pls. tum ye sab likh kar smart dikhna chahate ho lekin kabhi kisi ladki par kya bitegi socha hai?

Answer»

ANSWER:

YES I SUPPORT you sir/mam.

this APP is for STUDIES

Discussion

634.	If x^2 - px + 12 =(x-3)(x-a) is an identify, then find the values of a and p
Answer» <P>Answer: x^2 - PX + 12 = ( x - 3)( x -a ) x^2 - px +12 = x^2 - 3x -ax + 3A x^2 - px + 12 = x^2 - ( 3 + a ) x + 3a Therefore, p = 3 + a, 3a = 12 a = 4; p = 3+ 4 = 7

634.

If x^2 - px + 12 =(x-3)(x-a) is an identify, then find the values of a and p

Answer»

<P>Answer:

x^2 - PX + 12 = ( x - 3)( x -a )

x^2 - px +12 = x^2 - 3x -ax + 3A

x^2 - px + 12 = x^2 - ( 3 + a ) x + 3a

Therefore, p = 3 + a, 3a = 12

a = 4; p = 3+ 4 = 7

Discussion

635.	Rationalise - 2√6 / √2 + √3 + √5Please help FAST
Answer» ANSWER: HOPE it HELPS you here is your ANSWERS

635.

Rationalise - 2√6 / √2 + √3 + √5Please help FAST

Answer»

ANSWER:

HOPE it HELPS you

here is your ANSWERS

Discussion

636.	Expand the following. (m+2n)^2
Answer» ANSWER: LOL QUESTIONS HI HAAAAA

636.

Expand the following. (m+2n)^2

Answer»

ANSWER:

LOL QUESTIONS HI HAAAAA

Discussion

637.	Which expression is the prime factorization of the greatest 3- digit number?Option(a) 33111(b) 333*37reply fast and correct pls
Answer» HEY THERE ✌ITZ ME TO HELP YOU... _: so we KNOW that greatest 3 digits number is 999 :_ now on prime FACTORIZING 999 we get as...... 999 = 3 X 3 x 111 *thus* *option* A is *your* *correct✅✔☑ answer. hope* it *helps* *you* a *lot*✌

637.

Which expression is the prime factorization of the greatest 3- digit number?Option(a) 33111(b) 333*37reply fast and correct pls

Answer»

HEY THERE ✌ITZ ME TO HELP YOU...

_: so we KNOW that greatest 3 digits number is 999 :_

now on prime FACTORIZING 999 we get as......

999 = 3 X 3 x 111

thus option A is your correct✅✔☑ answer.

hope it helps you a lot✌

Discussion

638.	Find the number whose 15% is 60
Answer» ANSWER: answer is 9 (60*15)/100=9

638.

Find the number whose 15% is 60

Answer»

ANSWER:

answer is 9

(60*15)/100=9

Discussion

639.	Solve. 1. 7x+2=3x+14
Answer» ANSWER: PUT VARIABLES and CONSTANTS to ONE side. 7x-3x=14-2 4x=12 x=12/4 x=3

639.

Solve. 1. 7x+2=3x+14

Answer»

ANSWER:

PUT VARIABLES and CONSTANTS to ONE side.

7x-3x=14-2

4x=12

x=12/4

x=3

Discussion

640.	Given line L ll m in the following figures.find the value x,y,and z
Answer» Answer: X = 115° y =115° z=75° Step-by-step explanation: x = 115° (Vertically OPPOSITE angles) y = 115° (CORRESPONDING Angles) z = 75° (Angles on a LINE)

640.

Given line L ll m in the following figures.find the value x,y,and z

Answer»

Answer:

X = 115° y =115° z=75°

Step-by-step explanation:

x = 115° (Vertically OPPOSITE angles)

y = 115° (CORRESPONDING Angles)

z = 75° (Angles on a LINE)

Discussion

641.	If x = acosθ; y = bsinθ, show that a dy/dx + bcotθ = 0
Answer» ANSWER: see the above PINNED image Step-by-step EXPLANATION: *HOPE* it *may* *HELP* u .....,

641.

If x = acosθ; y = bsinθ, show that a dy/dx + bcotθ = 0

Answer»

ANSWER:

see the above PINNED image

Step-by-step EXPLANATION:

HOPE it may HELP u .....,

Discussion

642.	Find if p=0 and if P(x)=x³
Answer» <P>ANSWER: if p=o Step-by-step EXPLANATION: then , p(X)=x³ p(0)=0³ =0 hence the answer is 0

642.

Find if p=0 and if P(x)=x³

Answer»

<P>ANSWER:

if p=o

Step-by-step EXPLANATION:

then ,

p(X)=x³

p(0)=0³

=0

hence the answer is 0

Discussion

643.	Find the distance between the points (2,3) , (4,1)
Answer» ANSWER: HEY Mate Step-by-step EXPLANATION: I HOPE it will be HELP you.

643.

Find the distance between the points (2,3) , (4,1)

Answer»

ANSWER:

HEY Mate

Step-by-step EXPLANATION:

I HOPE it will be HELP you.

Discussion

644.	Place of value of 3 in 536729 is
Answer» Answer: *the* *PLACE* *value* of 3 in 536729 is 30000 or *thirty* *thousand***

644.

Place of value of 3 in 536729 is

Answer»

Answer:

the PLACE value of 3 in 536729 is 30000 or thirty thousand

Discussion

645.	Find the coordinates of a point P where the line through A(3,-4,-5) and B(2,-3,1) crosses the plane, passing through the point L(2,2,1),M(3,0,1) and N(4,-1,0).Also find the ratio in which P divides the line segment AB.No spam
Answer» $\large\underline{\sf{Solution-}}$ Given that, ➢ The line through A(3,-4,-5) and B(2,-3,1) crosses the plane, passing through the point L(2,2,1),M(3,0,1) and N(4,-1,0). We know, ➢ Equation of line passing through POINTS (a, b, c) and (d, E, f) is given by $\rm :\longmapsto\:\boxed{ \rm \:\dfrac{x - a}{d - a} = \dfrac{y - b}{e - b} = \dfrac{z - c}{f - c}}$ ➢ Hence, the equation of line passes through (3, - 4, - 5) and (2, - 3, 1) is $\rm :\longmapsto\:\rm \:\dfrac{x - 3}{2 - 3} = \dfrac{y + 4}{ - 3 + 4} = \dfrac{z + 5}{1 + 5} = k$ $\rm :\longmapsto\:\rm \:\dfrac{x - 3}{- 1} = \dfrac{y + 4}{1} = \dfrac{z + 5}{6} = k$ ➢ So, the coordinates of any point P on the line AB be $\bf :\longmapsto\:Coordinates \: of \: P = ( - k + 3, \: k - 4, \: 6k - 5)$ Now, Equation of plane passes through the point L (2,2,1), M (3,0,1) and N (4,-1,0) is $\rm \: \: \: \: \begin{gathered}\sf \left \| \begin{array}{ccc}x - 2&y - 2&z - 1\\3 - 2&0 - 2&1 - 1\\4 - 2& - 1 - 2&0 - 1\end{array}\right \| \end{gathered} = 0$ $\rm \: \: \: \: \begin{gathered}\sf \left \| \begin{array}{ccc}x - 2&y - 2&z - 1\\1&- 2&0\\2& -3&- 1\end{array}\right \| \end{gathered} = 0$ $\rm :\longmapsto\:(x - 2)(2 - 0) - (y - 2)( - 1 - 0) + (z - 1)( - 3 + 4) = 0$ $\rm :\longmapsto\:2x - 4 + y - 2 + z - 1 = 0$ $\rm :\longmapsto\:2x + y + z - 7 = 0$ Now, P lies in this plane, So, P must satisfy the equation of plane. $\rm :\longmapsto\:2( - k + 3) + k - 4 + 6k - 5 - 7 = 0$ $\rm :\longmapsto\:- 2k +6 +7 k - 16 = 0$ $\rm :\longmapsto\:5k - 10 = 0$ $\bf\implies \:k = 2$ Hence, $\rm :\longmapsto\:Coordinates \: of \: P = ( - 2 + 3, \: 2 - 4, \: 12 - 5)$ $\bf :\longmapsto\:Coordinates \: of \: P = ( 1, \: - 2, \:7)$ Let assume that P ( 1, - 2, 7 ) divides the line passes through (3, - 4, - 5) and (2, - 3, 1) in the ratio n : 1. So, By Section Formula, $\rm :\longmapsto\:(1, - 2,7) = \bigg(\dfrac{2n + 3}{n + 1}, \: \dfrac{ - 3n - 4}{n + 1}, \: \dfrac{n - 5}{n + 1} \bigg)$ So, on comparing x - coordinates on both sides, we get $\rm :\longmapsto\:\dfrac{2n + 3}{n + 1} = 1$ $\rm :\longmapsto\:2n + 3 = n + 1$ $\rm :\longmapsto\:2n - n = 1 - 3$ $\rm :\longmapsto\:n = - 2$ This implies, P 1, - 2, 7 ) divides the line passes through (3, - 4, - 5) and (2, - 3, 1) in the ratio 2 : 1 externally.

645.

Find the coordinates of a point P where the line through A(3,-4,-5) and B(2,-3,1) crosses the plane, passing through the point L(2,2,1),M(3,0,1) and N(4,-1,0).Also find the ratio in which P divides the line segment AB.No spam

Answer»

$\large\underline{\sf{Solution-}}$

Given that,

➢ The line through A(3,-4,-5) and B(2,-3,1) crosses the plane, passing through the point L(2,2,1),M(3,0,1) and N(4,-1,0).

We know,

➢ Equation of line passing through POINTS (a, b, c) and (d, E, f) is given by

$\rm :\longmapsto\:\boxed{ \rm \:\dfrac{x - a}{d - a} = \dfrac{y - b}{e - b} = \dfrac{z - c}{f - c}}$

➢ Hence, the equation of line passes through (3, - 4, - 5) and (2, - 3, 1) is

$\rm :\longmapsto\:\rm \:\dfrac{x - 3}{2 - 3} = \dfrac{y + 4}{ - 3 + 4} = \dfrac{z + 5}{1 + 5} = k$

$\rm :\longmapsto\:\rm \:\dfrac{x - 3}{- 1} = \dfrac{y + 4}{1} = \dfrac{z + 5}{6} = k$

➢ So, the coordinates of any point P on the line AB be

$\bf :\longmapsto\:Coordinates \: of \: P = ( - k + 3, \: k - 4, \: 6k - 5)$

Now,

Equation of plane passes through the point L (2,2,1), M (3,0,1) and N (4,-1,0) is

$\rm \: \: \: \: \begin{gathered}\sf \left | \begin{array}{ccc}x - 2&y - 2&z - 1\\3 - 2&0 - 2&1 - 1\\4 - 2& - 1 - 2&0 - 1\end{array}\right | \end{gathered} = 0$

$\rm \: \: \: \: \begin{gathered}\sf \left | \begin{array}{ccc}x - 2&y - 2&z - 1\\1&- 2&0\\2& -3&- 1\end{array}\right | \end{gathered} = 0$

$\rm :\longmapsto\:(x - 2)(2 - 0) - (y - 2)( - 1 - 0) + (z - 1)( - 3 + 4) = 0$

$\rm :\longmapsto\:2x - 4 + y - 2 + z - 1 = 0$

$\rm :\longmapsto\:2x + y + z - 7 = 0$

Now, P lies in this plane,

So, P must satisfy the equation of plane.

$\rm :\longmapsto\:2( - k + 3) + k - 4 + 6k - 5 - 7 = 0$

$\rm :\longmapsto\:- 2k +6 +7 k - 16 = 0$

$\rm :\longmapsto\:5k - 10 = 0$

$\bf\implies \:k = 2$

Hence,

$\rm :\longmapsto\:Coordinates \: of \: P = ( - 2 + 3, \: 2 - 4, \: 12 - 5)$

$\bf :\longmapsto\:Coordinates \: of \: P = ( 1, \: - 2, \:7)$

Let assume that

P ( 1, - 2, 7 ) divides the line passes through (3, - 4, - 5) and (2, - 3, 1) in the ratio n : 1.

So, By Section Formula,

$\rm :\longmapsto\:(1, - 2,7) = \bigg(\dfrac{2n + 3}{n + 1}, \: \dfrac{ - 3n - 4}{n + 1}, \: \dfrac{n - 5}{n + 1} \bigg)$

So, on comparing x - coordinates on both sides, we get

$\rm :\longmapsto\:\dfrac{2n + 3}{n + 1} = 1$

$\rm :\longmapsto\:2n + 3 = n + 1$

$\rm :\longmapsto\:2n - n = 1 - 3$

$\rm :\longmapsto\:n = - 2$

This implies, P 1, - 2, 7 ) divides the line passes through (3, - 4, - 5) and (2, - 3, 1) in the ratio 2 : 1 externally.

Discussion

646.	In given Nos 4, 12, 44, 176, 890 which is odd Nos
Answer» Answer: Here there are no odd NUMBERS, all are even Step-by-step explanation: The numbers which ENDS with either 1 or 3 or 5 or 7 or 9 are called Odd numbers.

646.

In given Nos 4, 12, 44, 176, 890 which is odd Nos

Answer»

Answer:

Here there are no odd NUMBERS, all are even

Step-by-step explanation:

The numbers which ENDS with either 1 or 3 or 5 or 7 or 9 are called Odd numbers.

Discussion

647.	-5/18 + 17/-24 + 121/57
Answer» ANSWER: I don't KNOW SORRY to be not know the answer

647.

-5/18 + 17/-24 + 121/57

Answer»

ANSWER:

I don't KNOW SORRY to be not know the answer

Discussion

648.	Simplify 125 -2}{16+4-(13+3-6+4)}
Answer» ANSWER: {125-2}×{16+4-14} =123×6 =738

648.

Simplify 125 -2}{16+4-(13+3-6+4)}

Answer»

ANSWER:

{125-2}×{16+4-14}

=123×6

=738

Discussion

649.	Solve (1-5^x)/((7^-x)-7) ≥0
Answer» Step-by-step EXPLANATION: when x=1 (1-5¹)/((7^-1)-7) (1-5)/((0)-7) (-4)/(0) =0

649.

Solve (1-5^x)/((7^-x)-7) ≥0

Answer»

Step-by-step EXPLANATION:

when x=1

(1-5¹)/((7^-1)-7)

(1-5)/((0)-7)

(-4)/(0)

=0

Discussion

650.	Show that V3 - 2 is an irrational number,
Answer» SORRY BHAI I don’t KNOW the answer Thank you for the POINTS My i.nstagram - @itz_kadir_94

Discussion

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