24740 + Interview Questions in Mathematics Page 103 InterviewSolution

5101.	Question 122 State whether the statements are True or False. A quadrilateral can be drawn if only measures of four sides are given.
Answer» Question 122 State whether the statements are True or False. A quadrilateral can be drawn if only measures of four sides are given.

Discussion

5102.	What is the value of 11+√2+1√2+√3+1√3+√4........ upto 15 terms?
Answer» What is the value of $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} . . . . . . . .$ upto 15 terms?

Discussion

5103.	The sum of the length, breadth and height of a cuboid is 53 cm and length of its diagonal is 35 cm, then its total surface area is ___________.
Answer» The sum of the length, breadth and height of a cuboid is $5 \sqrt{3}$ cm and length of its diagonal is $3 \sqrt{5}$ cm, then its total surface area is ___________.

Discussion

5104.	How deal with problems based on inequalities of a triangle? Give tips and short cuts to solve problems based on inequlaties of a triangle. Sir help me.
Answer» How deal with problems based on inequalities of a triangle? Give tips and short cuts to solve problems based on inequlaties of a triangle. Sir help me.

Discussion

5105.	The perimeter of a triangular field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.
Answer» The perimeter of a triangular field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.

Discussion

5106.	A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is
Answer» A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is

Discussion

5107.	In the given figure, side BC of ∆ABC is bisected at D and O is any point on AD. BO and CO produced meet AC and AB at E and F, respectively, and AD is produced to X, so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF ∥ BC.
Answer» In the given figure, side BC of ∆ABC is bisected at D and O is any point on AD. BO and CO produced meet AC and AB at E and F, respectively, and AD is produced to X, so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF ∥ BC.

Discussion

5108.	The slant height and base diameter of a conical tomb are 25m and 14m respectively. Find the cost of whitewashing its curved surface at the rate of Rs.12 per m2.
Answer» The slant height and base diameter of a conical tomb are $25 m$ and $14 m$ respectively. Find the cost of whitewashing its curved surface at the rate of $R s .12$ per $m^{2} .$

Discussion

5109.	If the value of sec θ=52 what is the value of cos θ?
Answer» If the value of $s e c θ = \frac{5}{2}$ what is the value of $c o s θ$ ?

Discussion

5110.	Using the remainder theorem, find the remainder, when p(x) is divided by g(x), wherepx=2x3+3x2-11x-3, gx=x+12.
Answer» Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where $p (x) = 2 x^{3} + 3 x^{2} - 11 x - 3, g (x) = (x + \frac{1}{2})$ .

Discussion

5111.	A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?
Answer» A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?

Discussion

5112.	E is the mid-point of a median AD of ΔABC and BE is produced to meet AC at F. Show that AF=13AC.
Answer» E is the mid-point of a median AD of $Δ A B C$ and BE is produced to meet AC at F. Show that $A F = \frac{1}{3} A C$ .

Discussion

5113.	Question 13In a triangle ABC, D is the mid-point of side AC such that BD = 12 AC. Show that ∠ABC=90∘.
Answer» Question 13 In a triangle ABC, D is the mid-point of side AC such that BD = $\frac{1}{2}$ AC. Show that $∠ A B C = 90^{\circ}$ .

Discussion

5114.	Question 5 (ii) Find 36 ÷ 0.2
Answer» Question 5 (ii) Find 36 $\div$ 0.2

Discussion

5115.	a public park ,in the form of a square ,has an area of (100.0\pm0.2)m^2.the side of park is
Answer» a public park ,in the form of a square ,has an area of (100.0\pm0.2)m^2.the side of park is

Discussion

5116.	ABCD is a parallelogram is which ∠ADC=70∘ and side AB is produced to point E as shown in the figure. Find x+y.
Answer» ABCD is a parallelogram is which $∠ A D C = 70^{\circ}$ and side AB is produced to point E as shown in the figure. Find $x + y .$

Discussion

5117.	A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.
Answer» A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.

Discussion

5118.	Question 13 Rationalise the denominator in each of the following and hence evaluate by taking √2=1.414,√3=1.732 and √5=2.236 upto three places of decimal. (i)4√3(ii)6√6(iii)√10−√52(iv)√22+√2(v)1√3+√2
Answer» Question 13 Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2} = 1.414, \sqrt{3} = 1.732$ and $\sqrt{5} = 2.236$ upto three places of decimal. $(i) \frac{4}{\sqrt{3}} (i i) \frac{6}{\sqrt{6}} (i i i) \frac{\sqrt{10} - \sqrt{5}}{2} (i v) \frac{\sqrt{2}}{2 + \sqrt{2}} (v) \frac{1}{\sqrt{3} + \sqrt{2}}$

Discussion

5119.	On a circle of radius 3 cm draw its two chords. Then construct the perpendicular bisector of these chords. Where do they meet?
Answer» On a circle of radius 3 cm draw its two chords. Then construct the perpendicular bisector of these chords. Where do they meet?

Discussion

5120.	In the given figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD : ∠ABE.
Answer» In the given figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD : ∠ABE.

Discussion

5121.	The tangent to a circle is a line which touches the circle at exactly ________.
Answer» The tangent to a circle is a line which touches the circle at exactly ________.

Discussion

5122.	ABCD is a parallelogram. E is a point on BA such that BE = 2 EA and F is a point on DC such that DF = 2 FC. Prove that AE CF is a parallelogram whose area is one third of the area of parallelogram AB CD.
Answer» ABCD is a parallelogram. E is a point on BA such that BE = 2 EA and F is a point on DC such that DF = 2 FC. Prove that AE CF is a parallelogram whose area is one third of the area of parallelogram AB CD.

Discussion

5123.	A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.
Answer» A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e. $\frac{r_{1}}{r_{2}}$ , where $r_{1}$ and $r_{2}$ are the radii of sphere and hemisphere respectively.

Discussion

5124.	Pass the rectification entries for the following transactions:(i) An amount of ₹ 2,000 received from Mohan on 1st April, 2019 had been entered in the Cash Book as having been received on 31st March, 2019.(ii) The balance in the account of Rahim ₹ 1,000 had been written off as bad but no other account has been debited.(iii) An addition in the Returns Inward Book had been cast ₹ 100 short.(iv) A cheque for ₹ 200 drawn for the Petty Cash Account has been posted in the account of Asif.(v) A discounted Bill of Exchange for ₹ 20,000 returned by the firm's bank had been credited to the Bank Account and debited to Bills Receivable Account. A cheque was received later from the customer for ₹ 20,000 and duly paid.(vi) Ramesh's Account was credited with ₹ 840 twice instead of once.
Answer» Pass the rectification entries for the following transactions: (i) An amount of ₹ 2,000 received from Mohan on 1st April, 2019 had been entered in the Cash Book as having been received on 31st March, 2019. (ii) The balance in the account of Rahim ₹ 1,000 had been written off as bad but no other account has been debited. (iii) An addition in the Returns Inward Book had been cast ₹ 100 short. (iv) A cheque for ₹ 200 drawn for the Petty Cash Account has been posted in the account of Asif. (v) A discounted Bill of Exchange for ₹ 20,000 returned by the firm's bank had been credited to the Bank Account and debited to Bills Receivable Account. A cheque was received later from the customer for ₹ 20,000 and duly paid. (vi) Ramesh's Account was credited with ₹ 840 twice instead of once.

Discussion

5125.	The plane 2x-3y+6z-11=0 makes an angle sin-1α with x-axis. The value of α is equal to(a) 32(b) 23(c) 27(d) 37
Answer» The plane 2x-3y+6z-11=0 makes an angle $\sin^{- 1} α$ with x-axis. The value of $α$ is equal to (a) $\frac{\sqrt{3}}{2}$ (b) $\frac{\sqrt{2}}{3}$ (c) $\frac{2}{7}$ (d) $\frac{3}{7}$

Discussion

5126.	The figure shows a circle with centre O, in which the diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm. Find the radius of the circle.
Answer» The figure shows a circle with centre O, in which the diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm. Find the radius of the circle.

5126.

The figure shows a circle with centre O, in which the diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm. Find the radius of the circle.

Answer»

The figure shows a circle with centre O, in which the diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm. Find the radius of the circle.

Discussion

5127.	In the given figure, D and E are the points on the base BC of \bigtriangleup ABC such that BD=CE, AD=AE. Prove that \bigtriangleup ABE≅\bigtriangleup AC
Answer» In the given figure, D and E are the points on the base BC of \bigtriangleup ABC such that BD=CE, AD=AE. Prove that \bigtriangleup ABE≅\bigtriangleup AC

Discussion

5128.	If A, Band C are interior angles of a triangle ABC then show that
Answer» If A, Band C are interior angles of a triangle ABC then show that

5128.

If A, Band C are interior angles of a triangle ABC then show that

Answer»

If A, Band C are interior angles of a triangle ABC then show that

Discussion

5129.	The angles of a quadrilateral are in the ratio of 2 : 3 : 5 : 8. Find the measure of each angle.
Answer» The angles of a quadrilateral are in the ratio of 2 : 3 : 5 : 8. Find the measure of each angle.

Discussion

5130.	In a parallelogram ABCD, AB=10cm and AD=6cm. The bisector of angle-A meets DC at E. AE and BC produced to meet F. Find the length of CF.
Answer» In a parallelogram ABCD, AB=10cm and AD=6cm. The bisector of angle-A meets DC at E. AE and BC produced to meet F. Find the length of CF.

Discussion

5131.	A right angled triangle having its base and height equal to 24 cm and 7 cm respectively is rotated by 360∘ along its base. Find the curved surface area of resultant figure.
Answer» A right angled triangle having its base and height equal to 24 cm and 7 cm respectively is rotated by $360^{\circ}$ along its base. Find the curved surface area of resultant figure.

Discussion

5132.	In the given figures, mark the figures which are on the same base but not between same parallels.
Answer» In the given figures, mark the figures which are on the same base but not between same parallels.

Discussion

5133.	Find 12513
Answer» Find $125^{\frac{1}{3}}$

5133.

Find 12513

Answer»

Find

$125^{\frac{1}{3}}$

Discussion

5134.	In the given Figure,□ABCD is a trapezium. AB \|\| DC .Points P and Q are midpoints of seg AD and seg BC respectively.Then prove that, PQ \|\| AB and PQ = 12( AB + DC ).
Answer» In the given Figure, $□$ ABCD is a trapezium. AB \|\| DC .Points P and Q are midpoints of seg AD and seg BC respectively. Then prove that, PQ \|\| AB and PQ = $\frac{1}{2}$ ( AB + DC ).

Discussion

5135.	Factorise: x2+5x+6
Answer» Factorise: $x^{2} + 5 x + 6$

Discussion

5136.	Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Find the number of students i) who read H but not T ii) who read T but not H iii) who don't read any newspaper.
Answer» Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Find the number of students i) who read H but not T ii) who read T but not H iii) who don't read any newspaper.

5136.

Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Find the number of students i) who read H but not T ii) who read T but not H iii) who don't read any newspaper.

Answer»

Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Find the number of students

i) who read H but not T

ii) who read T but not H

iii) who don't read any newspaper.

Discussion

5137.	In the given figure ABCD is a cyclic quadilateral; O is the centre of the circle. If ∠ BOD= 160∘,find the measure of ∠ BPD= x∘ .The value of x is ___
Answer» In the given figure ABCD is a cyclic quadilateral; O is the centre of the circle. If $∠$ BOD= $160^{\circ}$ ,find the measure of $∠$ BPD= $x^{\circ}$ .The value of x is ___

5137.

In the given figure ABCD is a cyclic quadilateral; O is the centre of the circle. If ∠ BOD= 160∘,find the measure of ∠ BPD= x∘ .The value of x is ___

Answer»

In the given figure ABCD is a cyclic quadilateral; O is the centre of the circle. If $∠$ BOD= $160^{\circ}$ ,find the measure of $∠$ BPD= $x^{\circ}$ .The value of x is

___

Discussion

5138.	Question 7ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F.If ar (DFB) = 3 cm2, find the area of the parallelogram ABCD.
Answer» Question 7 ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F. If ar (DFB) = 3 $c m^{2}$ , find the area of the parallelogram ABCD.

Discussion

5139.	The difference between the largest and the smallest angle of the given triangle is:
Answer» The difference between the largest and the smallest angle of the given triangle is:

Discussion

5140.	The numbers of times the digit 3 will be written when listing the integers from 1 to 1000 is
Answer» The numbers of times the digit $3$ will be written when listing the integers from $1$ to $1000$ is

Discussion

5141.	------------------- is the equation of y-axis.
Answer» ------------------- is the equation of y-axis.

Discussion

5142.	On 31st January, 2017 the Pass Book of Shri M.L. Gupta shows a debit balance of ₹ 41,000. Prepare a bank reconciliation statement from the following particulars:-1. Cheques amounting to ₹ 15,600 were drawn on 27th January, 2017. Out of which cheques for ₹ 11,000 were encashed up to 31-1-2017.2. A wrong debit of ₹ 800 has been given by the bank in the Pass Book.3. A cheque for ₹ 200 was credited in the Pass Book but was not recorded in the Cash Book.4. Cheques amounting to ₹ 21,000 were deposited for collection. But out of these, cheques for ₹ 7,400 have been credited in the Pass Book on 5th February, 2017.5. A cheque for ₹ 1,000 was returned dishonoured by the bank and was debited in the Pass Book only.6. Interest on overdraft and bank charges amounting to ₹ 100 were not entered in the Cash Book.7. A cheque of ₹ 500 debited in the Cash Book omitted to be banked.
Answer» On 31st January, 2017 the Pass Book of Shri M.L. Gupta shows a debit balance of ₹ 41,000. Prepare a bank reconciliation statement from the following particulars:- 1. Cheques amounting to ₹ 15,600 were drawn on 27th January, 2017. Out of which cheques for ₹ 11,000 were encashed up to 31-1-2017. 2. A wrong debit of ₹ 800 has been given by the bank in the Pass Book. 3. A cheque for ₹ 200 was credited in the Pass Book but was not recorded in the Cash Book. 4. Cheques amounting to ₹ 21,000 were deposited for collection. But out of these, cheques for ₹ 7,400 have been credited in the Pass Book on 5th February, 2017. 5. A cheque for ₹ 1,000 was returned dishonoured by the bank and was debited in the Pass Book only. 6. Interest on overdraft and bank charges amounting to ₹ 100 were not entered in the Cash Book. 7. A cheque of ₹ 500 debited in the Cash Book omitted to be banked.

Discussion

5143.	If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?
Answer» If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?

Discussion

5144.	69.round off upto 3 sighnificant figures. 2.335 and 2.345
Answer» 69.round off upto 3 sighnificant figures. 2.335 and 2.345

Discussion

5145.	Question 4If in two triangles ΔABC and ΔPQR,ABQR=BCPR=CAPQ, then(A) ΔPQR∼ΔCAB(B) ΔPQR∼ΔABC(C) ΔCBA∼ΔPQR(D) ΔBCA∼ΔPQR
Answer» Question 4 If in two triangles $Δ A B C a n d Δ P Q R, \frac{A B}{Q R} = \frac{B C}{P R} = \frac{C A}{P Q}$ , then (A) $Δ P Q R \sim Δ C A B$ (B) $Δ P Q R \sim Δ A B C$ (C) $Δ C B A \sim Δ P Q R$ (D) $Δ B C A \sim Δ P Q R$

Discussion

5146.	Convert 411 into its decimal form.
Answer» Convert $\frac{4}{11}$ into its decimal form.

Discussion

5147.	Which congruence criterion will you use for proving the congruency of these two triangles?Given: RP = ZX, RQ = ZY, ∠PRQ=∠XZYSo, ΔPQR≅ΔXY
Answer» Which congruence criterion will you use for proving the congruency of these two triangles? Given: RP = ZX, RQ = ZY, $∠ P R Q = ∠ X Z Y$ So, $Δ P Q R ≅ Δ X Y$

Discussion

5148.	Prove that the line segments joining the midpoints of opposite sides of a quadrilateral bisect each other.
Answer» Prove that the line segments joining the midpoints of opposite sides of a quadrilateral bisect each other.

Discussion

5149.	If a variable takes the discrete values α+4,α−72,α−52,α−3,α−2,α+12,α−12,α+5(α>0),then the median is
Answer» If a variable takes the discrete values $α + 4, α - \frac{7}{2}, α - \frac{5}{2}, α - 3, α - 2, α + \frac{1}{2}, α - \frac{1}{2}, α + 5 (α > 0)$ ,then the median is

Discussion

5150.	If (30 - 5sqrt(3))/(sqrt(8) + sqrt(5) + sqrt(3)) = a + b * sqrt(3) + c * sqrt(5) + d * sqrt(10) + e * sqrt(15) + f * sqrt(30) (where a, b, c, d, e and fare rational numbers), then the value of (a + b + c + d + e + f) is
Answer» If (30 - 5sqrt(3))/(sqrt(8) + sqrt(5) + sqrt(3)) = a + b * sqrt(3) + c * sqrt(5) + d * sqrt(10) + e * sqrt(15) + f * sqrt(30) (where a, b, c, d, e and fare rational numbers), then the value of (a + b + c + d + e + f) is

Discussion

Explore topic-wise InterviewSolutions in .

Question 122 State whether the statements are True or False. A quadrilateral can be drawn if only measures of four sides are given.

What is the value of 11+√2+1√2+√3+1√3+√4........ upto 15 terms?

The sum of the length, breadth and height of a cuboid is 53 cm and length of its diagonal is 35 cm, then its total surface area is ___________.

How deal with problems based on inequalities of a triangle? Give tips and short cuts to solve problems based on inequlaties of a triangle. Sir help me.

The perimeter of a triangular field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.

A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is

In the given figure, side BC of ∆ABC is bisected at D and O is any point on AD. BO and CO produced meet AC and AB at E and F, respectively, and AD is produced to X, so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF ∥ BC.

The slant height and base diameter of a conical tomb are 25m and 14m respectively. Find the cost of whitewashing its curved surface at the rate of Rs.12 per m2.

If the value of sec θ=52 what is the value of cos θ?

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), wherepx=2x3+3x2-11x-3, gx=x+12.

A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?

E is the mid-point of a median AD of ΔABC and BE is produced to meet AC at F. Show that AF=13AC.

Question 13In a triangle ABC, D is the mid-point of side AC such that BD = 12 AC. Show that ∠ABC=90∘.

Question 5 (ii) Find 36 ÷ 0.2

a public park ,in the form of a square ,has an area of (100.0\pm0.2)m^2.the side of park is

ABCD is a parallelogram is which ∠ADC=70∘ and side AB is produced to point E as shown in the figure. Find x+y.

A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.

Question 13 Rationalise the denominator in each of the following and hence evaluate by taking √2=1.414,√3=1.732 and √5=2.236 upto three places of decimal. (i)4√3(ii)6√6(iii)√10−√52(iv)√22+√2(v)1√3+√2

On a circle of radius 3 cm draw its two chords. Then construct the perpendicular bisector of these chords. Where do they meet?

In the given figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD : ∠ABE.

The tangent to a circle is a line which touches the circle at exactly ________.

ABCD is a parallelogram. E is a point on BA such that BE = 2 EA and F is a point on DC such that DF = 2 FC. Prove that AE CF is a parallelogram whose area is one third of the area of parallelogram AB CD.

A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.r1r2, where r1 and r2 are the radii of sphere and hemisphere respectively.

The plane 2x-3y+6z-11=0 makes an angle sin-1α with x-axis. The value of α is equal to(a) 32(b) 23(c) 27(d) 37

The figure shows a circle with centre O, in which the diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm. Find the radius of the circle.

In the given figure, D and E are the points on the base BC of \bigtriangleup ABC such that BD=CE, AD=AE. Prove that \bigtriangleup ABE≅\bigtriangleup AC

If A, Band C are interior angles of a triangle ABC then show that

The angles of a quadrilateral are in the ratio of 2 : 3 : 5 : 8. Find the measure of each angle.

In a parallelogram ABCD, AB=10cm and AD=6cm. The bisector of angle-A meets DC at E. AE and BC produced to meet F. Find the length of CF.

A right angled triangle having its base and height equal to 24 cm and 7 cm respectively is rotated by 360∘ along its base. Find the curved surface area of resultant figure.

In the given figures, mark the figures which are on the same base but not between same parallels.

Find 12513

In the given Figure,□ABCD is a trapezium. AB || DC .Points P and Q are midpoints of seg AD and seg BC respectively.Then prove that, PQ || AB and PQ = 12( AB + DC ).

Factorise: x2+5x+6

Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Find the number of students i) who read H but not T ii) who read T but not H iii) who don't read any newspaper.

In the given figure ABCD is a cyclic quadilateral; O is the centre of the circle. If ∠ BOD= 160∘,find the measure of ∠ BPD= x∘ .The value of x is ___

Question 7ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F.If ar (DFB) = 3 cm2, find the area of the parallelogram ABCD.

The difference between the largest and the smallest angle of the given triangle is:

The numbers of times the digit 3 will be written when listing the integers from 1 to 1000 is

------------------- is the equation of y-axis.

If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?

69.round off upto 3 sighnificant figures. 2.335 and 2.345

Question 4If in two triangles ΔABC and ΔPQR,ABQR=BCPR=CAPQ, then(A) ΔPQR∼ΔCAB(B) ΔPQR∼ΔABC(C) ΔCBA∼ΔPQR(D) ΔBCA∼ΔPQR

Convert 411 into its decimal form.

Which congruence criterion will you use for proving the congruency of these two triangles?Given: RP = ZX, RQ = ZY, ∠PRQ=∠XZYSo, ΔPQR≅ΔXY

Prove that the line segments joining the midpoints of opposite sides of a quadrilateral bisect each other.

If a variable takes the discrete values α+4,α−72,α−52,α−3,α−2,α+12,α−12,α+5(α&gt;0),then the median is

If (30 - 5sqrt(3))/(sqrt(8) + sqrt(5) + sqrt(3)) = a + b * sqrt(3) + c * sqrt(5) + d * sqrt(10) + e * sqrt(15) + f * sqrt(30) (where a, b, c, d, e and fare rational numbers), then the value of (a + b + c + d + e + f) is

If a variable takes the discrete values α+4,α−72,α−52,α−3,α−2,α+12,α−12,α+5(α>0),then the median is