This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A (5,3) B (3,9) C(2,-1) are 3 points. If P Is a point such that area of the quadrilateral PABC is 10 sq units, then the Locus of P Is? Who Will Answer Me Correct I Will Mark Them As Brainleist |
|
Answer» ong>Step-by-step explanation:P> AREA of the ΔABC will be : \frac{1}{2} 2 1
| 5 3 -1 | | 3 -2 1 | | 2 -1 1 | = \frac{1}{2} 2 1
| ( 5 [(-2)(1) - (1)(-1)] - 3 [(3)(1) - (1)(2)] + (-1) [(3)(-1) - (-2)(2)] ) | = \frac{1}{2} 2 1
| (5(-2+1) - 3(3-2) -1(-3+4)) | = \frac{1}{2} 2 1
| ( -5 - 3 +1 ) | = \frac{1}{2} 2 1
| -7 | = \frac{7}{2} 2 7
Therefore, area of the ΔABC is \frac{7}{2} 2 7
sq. units. Then, the area of the remaining portion, i.e, Area of the ΔPAC = Area of the quadrilateral - Area of the ΔABC = 10 - (7/2) = \frac{13}{2} 2 13
sq. units Now, to FIND the locus of P(x,y), equate the area of triangle PAC fomat to its area \frac{13}{2} 2 13
sq. units. | x y 1 | \frac{1}{2} 2 1
| 5 3 1 | = \frac{13}{2} 2 13
| 2 -1 1 | ⇒ \frac{1}{2} 2 1
| ( x [(3)(1) - (1)(-1)] - y [(5)(1) - (1)(2)] + (1) [(5)(-1) - (3)(2)] ) | = \frac{13}{2} 2 13
⇒ \frac{1}{2} 2 1
| x(3+1) - y(5-2) + 1(-5-6) | = \frac{13}{2} 2 13
⇒ \frac{1}{2} 2 1
| 4x - 3y -11 | = \frac{13}{2} 2 13
Cancelling \frac{1}{2} 2 1
on both sides, we get : ⇒ | 4x - 3y -11 | = 13 ⇒ 4x - 3y -11 = ± 13 So, the equations are 4x - 3y -11 = + 13 and 4x - 3y -11 = - 13, and the locus will be : ⇒ ( 4x - 3y -11 )² = (+13)(-13) ⇒ 16x² + 9y² + 2(4x)(-3y) + 2(4x)(-11) + 2(-3y)(-11) + (-11)² = -169 ⇒ 16x² + 9y² - 24xy - 88x + 66y + 121 + 169 = 0 ∴ 16x² + 9y² - 24xy - 88x + 66y + 290 = 0 Therefore, the locus of point P(x,y) is 16x² + 9y² - 24xy - 88x |
|
| 2. |
the following pair of linear equation intersect at a point or parallel or coincide 3 X + 2 y = 5 and 6 X + 4 y = 10 |
|
Answer» ) is the SOLUTION Step-by-step EXPLANATION: (6,4) |
|
| 3. |
Write the direction ratios of X, Y and Z axes. |
|
Answer» ong>Answer: THEY ARE MUTUALLY PERPENDICULAR Step-by-step explanation: IF X AXIS IS HORIZONTAL THEN Y AXIS IS VRTICAL AND Z AXIS IS DIAGONAL |
|
| 4. |
1. Write the degree of polynomial (z²+1) (z+2) 2. The square of a number is the product obtained by _______ the number itself3. Find the value of 4 X (27)⁻²∕³4. The value of (0.04)³∕² will be5. Find the value of x, if (3/7)x = 1 6. value of ³√0.000001 will be7. The degree of constant polynomial is8. The cube of -0.03 is9. Which of the following is an algebraic identity?10. A polynomial of degree____is called a quartic polynomial11. If x and y vary directly with each other and x = 27, what is y when constant of variation is 3?12. The square root of 2.380849 has___decimal places.13. Value of r for which ( y²+ 3y + r) divisible by (y-2) is14. How many non-square numbers lie between 26² and 27² ?15. The cube root of -216 is16. The value of √169 X 49 is17. The identity (x-a) (x-b) =18. On dividing 24y⁵ by (-3y²), we get19. on simplifying (6/5)³ dividing (5/6), we get20. The first five triangular numbers are21. Value of (5⁻¹ X 3⁻¹)⁰ is22. (0.027)²∕³ is equal to23. on solving the exponential equation (√3)x = (3)6 , we get x = 24. On simplifying using suitable identity: (82)² - (18)² , we get25. On dividing √27 x³ by 3√3 x² , we get26. A statement of equality which holds for all values of the variable is called______.27. Speed of a moving body and time taken to cover a particular distance vary_____with each other.28. The value of (5⁰ x 7⁰ x 2⁰ + 3⁰ x 6 + 4⁰)²/³ |
| Answer» ONG>Answer: | |
| 5. |
Solve the following equation: x+3/2-4/3=3x-7/3 |
|
Answer» ong>Answer: X+3/2-4/3=3X-7/3We MOVE all terms to the LEFT:X+3/2-4/3-(3X-7/3)=0We add all the numbers together, and all the variablesX-(+3X-7/3)+3/2-4/3=0We get rid of parenthesesX-3X+7/3+3/2-4/3=0We calculate fractionsThere is no SOLUTION for this equationPLZ MARK AS BRAINLIEST ANSWER ,FOLLOW ME AND THX FOR THE SUPERB QUESTION |
|
| 6. |
Prove the points (2,4), (3,1) and (4,-2) cannot form the vertices of a triangle |
|
Answer» ONG>Step-by-step EXPLANATION: Ksmzmzmzmzmmsmdndkwkdmsbdnsnw |
|
| 7. |
Find the square root of1 + (1-a^2)^1/2÷a |
|
Answer» ONG>ANSWER: fun DUG shsjshsbsjajau Step-by-step EXPLANATION: svshdhdnjxbduskskajsjzjs |
|
| 8. |
observation of some data x,x/3,x/2,x/4 and x/5 where x>0. if the median of the data is 19 find the value of x |
|
Answer» is even, then the median is 2( 2n ) th+( 2n +1)th=19 |
|
| 9. |
Write the legal measures taken to eredicate untouchbility |
|
Answer» ong>Answer: The UNTOUCHABILITY Offences ACT, 1955- Among other things it provides penalties for Preventing a person on the ground of untouchability from entering a place of public worship, offering prayers therein or taking WATER from a SACRED tank, WELL or spring. Step-by-step explanation: hope it helps you mate have a good day ❤️✌️ |
|
| 10. |
Find the value of n: (7/12)^-4×(7/12)^3n = (7/12)^5 |
|
Answer» ONG>Answer: 3 Step-by-step EXPLANATION: |
|
| 11. |
(i) 0.2 integers and 90.[2014](iv) 18.48 2014 (vii) 1.323 [2010] (vii(x) 0.407 [2014Express 2.36 +0.23 as a frрExpress in the form of9ANS(non |
|
Answer» ong>Step-by-step explanation: The number of electrons in a neutral ATOM is equal to the number of protons. The mass number of the atom (M) is equal to the SUM of the number of protons and neutrons in the NUCLEUS. The number of neutrons is equal to the difference between the mass number of the atom (M) and the ATOMIC number |
|
| 12. |
2. Find x +tyy + zBoxgoN20y |
|
Answer» ong>ANSWER: the question is not CORRECT Sorry i am not ABLE to answer |
|
| 13. |
Visualise the position of 5.665 on the number line through successive magnification please no scam |
|
Answer» is the ANSWER which TELLS by STEP by step EXPLANATION |
|
| 14. |
A code for google classroom consist of two different letters followed by 4 different digits. How many total different codes can be generated ? |
|
Answer» ONG>Answer: please mark a BRAINLIST and follow me |
|
| 15. |
A cook can bake 17 cakes one after the other in 7 h 22 min. How long does he take to bake each cake? The Earth takes 24 hours to complete one rotation about its axis. How many hours does it take torotate 5 times? |
|
Answer» ong>Step-by-step explanation: A cook can bake 17 cake ONE after the other in 7h 22min how long does hetake bake each cake 7h22min×17=12,274 the earth take 24 hours to COMPLETE one rotation about its axis How MANY hours does it take to rotate 5 times 24×5 =120 |
|
| 16. |
Complete each of the following magic square by filling the correct missing number 15_13_12__ __ __9 |
|
Answer» ong>Answer: |
|
| 17. |
At the rate of * 3/- per m², cost of painting a rectangular floor is* 7,056/-. If the breadth of the flooris 75% of its length, then what is thelength of the floor ? |
|
Answer» Given: At the rate of * 3/- per m², cost of painting a RECTANGULAR FLOOR is Rs. 7,056/- To find:The length of the floor Solution:Let's assume, "l" → the length of the rectangular floor "b" → the breadth of the rectangular floor It is given that the breadth is 75% of its length, so we can form an eq. as: b =
We know that, The cost of painting the rectangular floor = Rs. 7056 ⇒ [AREA of the rectangular floor] × [rate per meter SQUARE] = Rs. 7056 ⇒ [l × b] × 3 = 7056 substituting the value of b from (i), we get ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ Thus, the length of the floor is → 56 m. ------------------------------------------------------------------------------------------ Also View:find the cost of painting the walls of a room at rupees 25 per square metre if Length breadth and height of a room has 6 m, 4 m and 2.5 M respectively a rectangular room is of length 10m, breadth 6m , height 3m. the four walls and the roof have to be painted. if the cost of painting is 75/- per square metre, what will be the TOTAL cost? the area of the windows and doors is 6 sq.m , which are not to be painted. Find the cost of painting a tank of dimension 3m×2m×1.5m at rupees 20 per square metre Find the cost of painting the walls of a room if the room is 4m 50cm high and each side of the room is 6m long .The cost of painting is Rs10per Sq metre? |
|
| 18. |
26. A letter of English alphabet is chosen at random. Find the probability that the letter chosen does notoccur in the word 'PUNCUTATION'. |
|
Answer» ONG>Answer: the PROBABILITY is 1 /11 Step-by-step explanation: |
|
| 19. |
Find the polynomial whose zeroes are double the zeroes of polynomial is x^2-x-42 |
|
Answer» align="absmiddle" ALT="{\tt{\pink{\UNDERLINE{\underline{\HUGE{Answer:}}}}}}" class="latex-formula" id="TexFormula1" SRC="https://tex.z-dn.net/?f=%7B%5Ctt%7B%5Cpink%7B%5Cunderline%7B%5Cunderline%7B%5Chuge%7BAnswer%3A%7D%7D%7D%7D%7D%7D" title="{\tt{\pink{\underline{\underline{\huge{Answer:}}}}}}"> _________________________________ |
|
| 21. |
15) If BD = 2BA + AD, LM = 3LP – PM and BA = 3cm, AD = 2cm, LP = 4cm and PM = 1cm. Find which is greater, BD or LMTonic 2. Triangles. |
|
Answer» ONG>ANSWER: BD IS GREATER if you are INTERESTED in my answer plz GIVE me like and also FOLLOW me then I followed you |
|
| 22. |
If n(a×b)=45, then n (a) can't be |
|
Answer» ong>Answer: 2, 4, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44. |
|
| 23. |
What is impossible and sure or cretain event |
Answer» ONG>Step-by-step explanation:Please mark it as brain list and FOLLOW me friends for completing 200 followers |
|
| 24. |
The height of a cone is 8m and its Curved Surface Area is 188.4m².Find its volume.(Take π=3.14) |
|
Answer» Correct question:- The height of a CONE is 8m and its CURVED surface AREA is 188.4m².FIND its volume (Take π = 3.14) Given:-→Height of the cone=8m →C.S.A of the cone=188.4m² →Value of π= 3.14 To find:-→Volume of the cone Solution:-Let the radius be r metre and the slant height be l metres. =>C.S.A of a cone= πrl m² => πr√r²+h² m² =>(3.14×r×√r²+64)m² =>3.14×r×√r²+64=188.4 =>r√r²+64 = 188.4/3.14 =>r√r²+64 = 60 =>r²(r²+64) = 3600 =>r²+64r²-3600 = 0 =>(r²+100)(r²-36)=0 Since,r²= -100 gives an imaginary value of r =>r²=36 =>r=6 Hence,we got radius of base of the cone as 6m. =>Volume of a cone= 1/3πr²h =>1/3×3.14×6×6×8 =>904.32/3 =>301.44 m³ Thus,volume of the cone is 301.44m³. |
|
| 25. |
Please solve it fast and not send inrevvelent answer please its urgent |
|
Answer» ONG>Answer: 39=3×10+1×9 Step-by-step explanation: 39=3×10+1×9 |
|
| 26. |
Cube root of 0.002197 step by step instructions |
|
Answer» the CORRECT |
|
| 27. |
लोगों ने बैलों को पकड़कर कहां पर डाल दिया गया? |
|
Answer» ONG>Answer: लोगों ने पैरों को पकड़कर कांजी हाउस में डाल दिया था। hope it helps you dear!! please mark it as BRAINLIEST!! EK thanks to zaroor Dena. |
|
| 29. |
In a ∆ ABC, if A = 30°, b = 2, c= √3+1. then C-B/2(A) 15°(C)45°(B) 30°(D) None of these |
|
Answer» ong>Answer: |
|
| 30. |
A code consist of two different letters followed by 4 different digits. How many total different codes can be generated ? CLASS 11 PERMUTATION AND COMBINATION |
|
Answer» ong>Answer: I THINK 9 is correct answer PLEASE mark as brainliest PLZ..... |
|
| 31. |
There are 459 students in a hostel. If the number of students increased by 36, the expenses of the mess increased by Rs .81 Per day while the average expenditure per head reduced by 1. Find the original expenditure of the mess? |
|
Answer» ong>Step-by-step EXPLANATION: |
|
| 32. |
(a^2+b^2) (-a^2+b^2) |
|
Answer» ong>Answer: (a+b)(a-b)(a²+b²-(a-b)(a+b)] Step-by-step EXPLANATION: (a² - b²)(a²+b²) - (a² - b²)²
= (a²-b²) [a² + b² - (a²-b²)]
= (a+b)(a-b)(a²+b²-(a-b)(a+b)] Please MARK me as brainliest...... |
|
| 33. |
If sin2 A=0 then find the value of cos A. |
|
Answer» ONG>Answer: 1/√2 Step-by-step EXPLANATION: => 2A = 90 => A = 45° So, cos A = cos 45° = 1/√2 |
|
| 34. |
If f(x) = 5*, prove that,[i] f(x+2) = 25f(x) |
| Answer» ONG>Answer: | |
| 35. |
A park has a perimeter of 7/3 kilometers. If a boy takes 3 rounds of it,how many kilometers has he run? |
|
Answer» ONG>Answer: 7 KM is the answer Step-by-step EXPLANATION: (7/3)×3=7km |
|
| 36. |
Rationalize the denominator give ans. of all questions plz do not spam and best ans. will be marked as brainlist.... |
| Answer» KS for the QUESTIONS | |
| 37. |
A rabit start running and after it has taken 27 steps, a cheetah starts chasing it. gor every eight steps rabit takes five steps, but two steps of the chetah are equL to 5 steps of rabit. how many steps did cheetah take before grabbing the rabit |
|
Answer» ong>Step-by-step EXPLANATION: before GRABBING the rabbit cheetah took 8 steps |
|
| 38. |
37*1/2% के बराबर कौन-सी भिन्न है ? |
|
Answer» 37*1/2% के बराबर कौन-सी भिन्न है ? |
|
| 39. |
Satvir has a sum of 10000 rupees with him. He invested a part of it at the rate of 10% per annum and other at 8% per annum. Both compound annually. The interest he received after 2 years was 1926 rupees. In what parts did he divided the sum? |
|
Answer» ong>ANSWER: WARNING Step-by-step explanation: BOT HELP ALL MAKE BOT BRAINLIST INBOX YOU |
|
| 40. |
0 (0,0) A (6,0) B (0,4) are 3 points. If P is a point such that area oftriangle POB as twice the area of triangle POA, thenthe locus of P ?Who Will Say Me The Correct Answer And I Will Mark Them As Brainleist |
| Answer» ONG>ANSWER: | |
| 41. |
Draw a rough sketch of a quadrilateral ABCD,State |
|
Answer» IED to ANSWER UR QUESTION. □ This is a QUARDRILATERAL |
|
| 42. |
The hypotenuse of a right angled triangle is 25cm and the base is 7cm .Find the height of the triangle. |
|
Answer» ong>Answer: HYPOTNUSE = 25 CM Height = X cm Using pythagoras Theorem : Hypotnuse² = Height ² + Base ² (25)² = (7)² + x² 625 = 49 + x² 625 - 49 = x² 576 = x² √576 = x x = 24 cm Hence the Height is 24 cm... Pls mark it as the BRAINLIEST
|
|
| 44. |
Convert 480 rupees into paise |
|
Answer» ONG>Answer: 28800 Step-by-step explanation: |
|
| 46. |
Median of the data when mode = 40 and mean =34. |
|
Answer» er Step-by-step EXPLANATION: mode = 3median-2mean 40 = 3median-2×34 40 = 3median-68 40+68 = 3median 108 = 3median 108÷3 = median 36 = median |
|
| 47. |
If x+y=8 & xy=15 find the value of ( x^2+y^2) |
|
Answer» x+y = 8 and XY = 15 Squaring (x+y) we (x+y)^2 = x^2 + y^2 + 2xy. ( since (a+b)^2 = a^2 + b^2+ 2ab) 8*8 = x^2 + y^2 + 2*15. ( since x+y = 8 and xy = 15) 64 = x^2 + y^2 + 30 64 - 30 = x^2 + y^2 x^2 + y^2 = 34 |
|
| 48. |
How to do prime factorisation of 521 square root |
|
Answer» 521 and Level 6 521 is a prime number. Prime factorization: 521 is prime. The EXPONENT of prime number 521 is 1. Adding 1 to that exponent we get (1 + 1) = 2. ... Factors of 521: 1, 521. Factor pairs: 521 = 1 x 521. 521 has no square factors that ALLOW its square root to be SIMPLIFIED. √521 ≈ 22.8254244. I hope it will help you |
|
| 49. |
sum of two natural number is 100 and their difference is 10. what are the numbers? step by step explanation need |
|
Answer» ONG>Step-by-step EXPLANATION: ggyuchugfffgehhrueeueveheeueuvejeievdeidbdgdjdndjhdbdjdudb dudhebdhsowgwywbebeiuevdysbebsusn sjjdhebdjdjd dbhdjdxdmjdmdodbd XXXXXXX |
|