32581 + Interview Questions in Mathematics Page 45 InterviewSolution

2201.	Question 112A rectangular sheet of dimensions 25 cm×7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.
Answer» Question 112 A rectangular sheet of dimensions $25 c m \times 7 c m$ is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

2201.

Question 112A rectangular sheet of dimensions 25 cm×7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

Answer»

Question 112

A rectangular sheet of dimensions $25 c m \times 7 c m$ is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

Discussion

2202.	Find the value of p, in following system of linear equation have intimate number of solutions if yes ,find the solution 15x-7y=66,7x+2y=15.
Answer» Find the value of p, in following system of linear equation have intimate number of solutions if yes ,find the solution 15x-7y=66,7x+2y=15.

Discussion

2203.	{ The sum of all real values of }y for equation }}{\sqrt{2y+9}-\sqrt{y-4}=3, is equal to
Answer» { The sum of all real values of }y for equation }}{\sqrt{2y+9}-\sqrt{y-4}=3, is equal to

Discussion

2204.	Points P, Q and R in that order are dividing a line segment joining A(1, 6) and B (5, -2) in four equal parts. Find the coordinates o P, Q and R.
Answer» Points P, Q and R in that order are dividing a line segment joining A(1, 6) and B (5, -2) in four equal parts. Find the coordinates o P, Q and R.

Discussion

2205.	Tan(A+B-C)=1 Sin(B+C-A)=1 Cos(C+A-B)=1 then value of A
Answer» Tan(A+B-C)=1 Sin(B+C-A)=1 Cos(C+A-B)=1 then value of A

Discussion

2206.	If }\operatorname{cot}10^°+\operatorname{tan}5^°=\operatorname{cosec}x^°, then find the value of }x.
Answer» If }\operatorname{cot}10^°+\operatorname{tan}5^°=\operatorname{cosec}x^°, then find the value of }x.

Discussion

2207.	Which of the following about x2+9 is true?
Answer» Which of the following about $x^{2} + 9$ is true?

Discussion

2208.	A man of height y is standing between two buildings with heights x and z respectively as shown in the figure. Then, which of the following statements is true about the relation of the heights?
Answer» A man of height y is standing between two buildings with heights x and z respectively as shown in the figure. Then, which of the following statements is true about the relation of the heights?

Discussion

2209.	For division of polynomials is it necessary to have only one variable?? What if th question would be divide polynomial a^3+b^2+c by (a+b) Is it even possible?????
Answer» For division of polynomials is it necessary to have only one variable?? What if th question would be divide polynomial a^3+b^2+c by (a+b) Is it even possible?????

Discussion

2210.	Show that 5-23 is an irrational number.
Answer» Show that $5 - 2 \sqrt{3}$ is an irrational number.

Discussion

2211.	3.Let ax^3+bx^2+ cx + d be a cubic polynomial. If its leading coefficient is unity such that p(2)=5,p(3)=4and its curve passes through the origin, then find the value of 3(b +c+ d)
Answer» 3.Let ax^3+bx^2+ cx + d be a cubic polynomial. If its leading coefficient is unity such that p(2)=5,p(3)=4and its curve passes through the origin, then find the value of 3(b +c+ d)

Discussion

2212.	Let r be a root of the equation x2+ 2x + 6 = 0. The value of (r + 2) (r + 3) (r + 4) (r + 5) is equal to.
Answer» Let r be a root of the equation $x^{2}$ + 2x + 6 = 0. The value of (r + 2) (r + 3) (r + 4) (r + 5) is equal to.

Discussion

2213.	In the following AP's find the missing terms: (i)-4. __, __, __, __, 6 (ii) __, 38, __, __, __, -22
Answer» In the following AP's find the missing terms: (i)-4. __, __, __, __, 6 (ii) __, 38, __, __, __, -22

Discussion

2214.	Prove that the points (3, 0), (6, 4) and (−1, 3) are vertices of a right-angled isosceles triangle.
Answer» Prove that the points (3, 0), (6, 4) and (−1, 3) are vertices of a right-angled isosceles triangle.

Discussion

2215.	5cos square 60 degree + 4sec square 30 degree - tan square 45 degreewhole divided by sin square 30 degree +cos square 30 degree
Answer» 5cos square 60 degree + 4sec square 30 degree - tan square 45 degree whole divided by sin square 30 degree +cos square 30 degree

Discussion

2216.	In the given figure, a circle is inscribed in a quadrilateral ABCD in which ∠B = 90°. It AD = 23 cm, AB = 29 cm and DS = 5 cm, find the radius r of the circle.
Answer» In the given figure, a circle is inscribed in a quadrilateral ABCD in which ∠B = 90°. It AD = 23 cm, AB = 29 cm and DS = 5 cm, find the radius r of the circle.

Discussion

2217.	If A, B and C are interior angles of ΔABC, then Prove that : sin(A+C)2=cosB2.
Answer» If A, B and C are interior angles of $Δ A B C,$ then Prove that : $s i n \frac{(A + C)}{2} = c o s \frac{B}{2} .$

Discussion

2218.	Solve the following:In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.
Answer» Solve the following: In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

2218.

Solve the following:In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

Answer»

Solve the following:

In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

Discussion

2219.	What will be the simple interest on a sum of Rs 1820 from March 11, 2003 to May 23, 2003 at 7.5% rate?
Answer» What will be the simple interest on a sum of Rs 1820 from March 11, 2003 to May 23, 2003 at 7.5% rate?

Discussion

2220.	The area of the largest triangle that can be inscribed in a semi-circle of radius r, is(a) r2(b) 2r2(c) r3(d) 2r3
Answer» The area of the largest triangle that can be inscribed in a semi-circle of radius r, is (a) r² (b) 2r² (c) r³ (d) 2r³

Discussion

2221.	The L.C.M. of 6x2−x−1, 3x2+7x+2 and 2x2+3x−2 is .
Answer» The L.C.M. of $6 x^{2} - x - 1, 3 x^{2} + 7 x + 2$ and $2 x^{2} + 3 x - 2$ is .

Discussion

2222.	Find all the zeroes of the polynomial (2x raised to the power 4 - 9x raised to the power 3 + 5x raised to the power 2 + 3x - 1) if two of its zeroes are
Answer» Find all the zeroes of the polynomial (2x raised to the power 4 - 9x raised to the power 3 + 5x raised to the power 2 + 3x - 1) if two of its zeroes are

Discussion

2223.	Solve the following: In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.
Answer» Solve the following: In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

2223.

Solve the following: In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

Answer»

Solve the following:

In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

Discussion

2224.	Question 20Find the ratio in which the line 2x+3y = 5 = 0 divides the line segment joining the points (8,-9) and (2,1). Also, find the coordinates of the point of division.
Answer» Question 20 Find the ratio in which the line 2x+3y = 5 = 0 divides the line segment joining the points (8,-9) and (2,1). Also, find the coordinates of the point of division.

Discussion

2225.	Point A and B are 70 km. a part on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if the travel towards each other, the meet in one hour. Find the speed of the two cars.
Answer» Point A and B are 70 km. a part on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if the travel towards each other, the meet in one hour. Find the speed of the two cars.

Discussion

2226.	Match the correct factors of the following polynomials-
Answer» Match the correct factors of the following polynomials-

Discussion

2227.	T. Ltd. offered 2,00,000, 8% debenture of Rs 500 each on June 30, 2014 at a premium of 10% payable as Rs 200 on application (including premium) and balance on allotment, redeemable at par after 8 years. But application are received for 3,00,000 debentures and the allotment is made on pro-rata basis. All the money due on application and allotment is received. Record necessary entries regarding issue of debentures.
Answer» T. Ltd. offered 2,00,000, 8% debenture of Rs 500 each on June 30, 2014 at a premium of 10% payable as Rs 200 on application (including premium) and balance on allotment, redeemable at par after 8 years. But application are received for 3,00,000 debentures and the allotment is made on pro-rata basis. All the money due on application and allotment is received. Record necessary entries regarding issue of debentures.

Discussion

2228.	What is the solution for the following pair of linear equations?12x−1y=−11x+12y=8(Where x≠0,y≠0)
Answer» What is the solution for the following pair of linear equations? $\frac{1}{2 x} - \frac{1}{y} = - 1$ $\frac{1}{x} + \frac{1}{2 y} = 8$ (Where $x \neq 0, y \neq 0)$

Discussion

2229.	Prove that each of the following numbers is irrational. (i) √3 (ii) (2−√3)(iii) (3+√2) (iv) (2+√5)(v) (5+3√2) (vi) 3√7(vii) 3√5 (viii) (2−3√5)(ix) (√3+√5)
Answer» Prove that each of the following numbers is irrational. $(i) \sqrt{3} (i i) (2 - \sqrt{3}) (i i i) (3 + \sqrt{2}) (i v) (2 + \sqrt{5}) (v) (5 + 3 \sqrt{2}) (v i) 3 \sqrt{7} (v i i) \frac{3}{\sqrt{5}} (v i i i) (2 - 3 \sqrt{5}) (i x) (\sqrt{3} + \sqrt{5})$

2229.

Prove that each of the following numbers is irrational. (i) √3 (ii) (2−√3)(iii) (3+√2) (iv) (2+√5)(v) (5+3√2) (vi) 3√7(vii) 3√5 (viii) (2−3√5)(ix) (√3+√5)

Answer»

Prove that each of the following numbers is irrational.

$(i) \sqrt{3} (i i) (2 - \sqrt{3}) (i i i) (3 + \sqrt{2}) (i v) (2 + \sqrt{5}) (v) (5 + 3 \sqrt{2}) (v i) 3 \sqrt{7} (v i i) \frac{3}{\sqrt{5}} (v i i i) (2 - 3 \sqrt{5}) (i x) (\sqrt{3} + \sqrt{5})$

Discussion

2230.	Pair the congruent figures.
Answer» Pair the congruent figures.

Discussion

2231.	Which of the following words has a Latin prefix?
Answer» Which of the following words has a Latin prefix?

Discussion

2232.	Solve the following pair of equations by cross multiply method 57/x+y + 6/x-y=5 38/x+y + 21/x-y=9
Answer» Solve the following pair of equations by cross multiply method 57/x+y + 6/x-y=5 38/x+y + 21/x-y=9

Discussion

2233.	There is a set of 7 natural numbers namely: 1, 2, 3, 4, 5, 6, 7. Another set of natural number are :1, 2, 3, 4, 5, 6. What are the values of medians in each set of numbers respectively?
Answer» There is a set of 7 natural numbers namely: 1, 2, 3, 4, 5, 6, 7. Another set of natural number are :1, 2, 3, 4, 5, 6. What are the values of medians in each set of numbers respectively?

Discussion

2234.	Find the value of a for which (x + 2a) is a factor of (x5 – 4a2 x3 + 2x + 2a +3).
Answer» Find the value of a for which (x + 2a) is a factor of (x⁵– 4a² x³ + 2x + 2a +3).

Discussion

2235.	In the given figure, PA and PB are two tangents drawn from an external point P. If ∠APB=40∘, then ∠AOB=
Answer» In the given figure, PA and PB are two tangents drawn from an external point P. If $∠ A P B = 40^{\circ}$ , then $∠ A O B =$

Discussion

2236.	In ΔABC, ∠ C=30∘, ∠ B=80∘, ∠ A=70∘, AB=12 cm as shown in the figure. Find the length of the side AC.⎡⎢⎣sin 30∘=0.5sin 70∘=0.93sin 80∘=0.98⎤⎥⎦
Answer» In $Δ A B C$ , $∠ C = 30^{\circ}, ∠ B = 80^{\circ}, ∠ A = 70^{\circ}, A B = 12 c m$ as shown in the figure. Find the length of the side AC. $⎡ ⎢ ⎣ \begin{matrix} s i n 30^{\circ} = 0.5 s i n 70^{\circ} = 0.93 s i n 80^{\circ} = 0.98 \end{matrix} ⎤ ⎥ ⎦$

2236.

In ΔABC, ∠ C=30∘, ∠ B=80∘, ∠ A=70∘, AB=12 cm as shown in the figure. Find the length of the side AC.⎡⎢⎣sin 30∘=0.5sin 70∘=0.93sin 80∘=0.98⎤⎥⎦

Answer»

In $Δ A B C$ , $∠ C = 30^{\circ}, ∠ B = 80^{\circ}, ∠ A = 70^{\circ}, A B = 12 c m$ as shown in the figure. Find the length of the side AC.

$⎡ ⎢ ⎣ \begin{matrix} s i n 30^{\circ} = 0.5 s i n 70^{\circ} = 0.93 s i n 80^{\circ} = 0.98 \end{matrix} ⎤ ⎥ ⎦$

Discussion

2237.	If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3 P(A) = 2 P(B) = P(C), then P(A) is equal to(a) 111 (b) 211 (c) 511 (d) 611
Answer» If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3 P(A) = 2 P(B) = P(C), then P(A) is equal to (a) $\frac{1}{11}$ (b) $\frac{2}{11}$ (c) $\frac{5}{11}$ (d) $\frac{6}{11}$

Discussion

2238.	The following data shows monthly savings of 100 families. Find the difference of modal and mean monthly savings in rupees. Monthly & Number savings (₹) of families1000−2000142000−3000153000−4000214000−5000275000−600025840
Answer» The following data shows monthly savings of 100 families. Find the difference of modal and mean monthly savings in rupees. $\begin{matrix} Monthly & Number savings (₹) & o f f a m i l i e s 1000 - 2000 & 14 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$ 840

2238.

The following data shows monthly savings of 100 families. Find the difference of modal and mean monthly savings in rupees. Monthly & Number savings (₹) of families1000−2000142000−3000153000−4000214000−5000275000−600025840

Answer»

The following data shows monthly savings of 100 families. Find the difference of modal and mean monthly savings in rupees.

$\begin{matrix} Monthly & Number savings (₹) & o f f a m i l i e s 1000 - 2000 & 14 2000 - 3000 & 15 3000 - 4000 & 21 4000 - 5000 & 27 5000 - 6000 & 25 \end{matrix}$

840

Discussion

2239.	In □ABCD , side BC < side AD (Figure 5.32) side BC \|\| side AD and if side BA ≅ side CD then prove that ∠ABC≅ ∠DCB.
Answer» In $□$ ABCD , side BC < side AD (Figure 5.32) side BC \|\| side AD and if side BA $≅$ side CD then prove that $∠$ ABC $≅$ $∠$ DCB.

Discussion

2240.	If X = -3 and Y = -4 are two perpendicular lines. Point P (-3, 1) lies on the line X = -3. Find the perpendicular distance(in units) from the point P to the line Y = -4. __
Answer» If X = -3 and Y = -4 are two perpendicular lines. Point P (-3, 1) lies on the line X = -3. Find the perpendicular distance(in units) from the point P to the line Y = -4. __

2240.

If X = -3 and Y = -4 are two perpendicular lines. Point P (-3, 1) lies on the line X = -3. Find the perpendicular distance(in units) from the point P to the line Y = -4. __

Answer»

If X = -3 and Y = -4 are two perpendicular lines. Point P (-3, 1) lies on the line X = -3. Find the perpendicular distance(in units) from the point P to the line Y = -4.

__

Discussion

2241.	Question 1The linear equation 2x - 5y = 7 has:A) A unique solutionB) Two solutionC) Infinitely many solutionsD) No solution
Answer» Question 1 The linear equation 2x - 5y = 7 has: A) A unique solution B) Two solution C) Infinitely many solutions D) No solution

Discussion

2242.	In the given figure, triangle ABC is right - angled at B. Given that DE=3 cm, AE=5 cm and D and E are the mid-points of the sides AB and AC respectively. If DE∥BC, find the sides AB and BC.
Answer» In the given figure, triangle $A B C$ is right - angled at $B$ . Given that $D E = 3 c m$ , $A E = 5 c m$ and $D$ and $E$ are the mid-points of the sides $A B$ and $A C$ respectively. If $D E ∥ B C$ , find the sides $A B$ and $B C$ .

Discussion

2243.	A right triangle is formed by connecting the 3 coordinates A, B and C as shown in figure. Find the coordinates of point B if AB and BC are parallel to the coordinate axes.
Answer» A right triangle is formed by connecting the 3 coordinates A, B and C as shown in figure. Find the coordinates of point B if AB and BC are parallel to the coordinate axes.

Discussion

2244.	Write down the sequence of natural numbers which leave a remainder 3 on division by 6. What is the 10th term of this sequence? How many terms of this sequence are between 100 and 400?
Answer» Write down the sequence of natural numbers which leave a remainder 3 on division by 6. What is the 10^th term of this sequence? How many terms of this sequence are between 100 and 400?

Discussion

2245.	Construct a direct common tangent to two circles of radii 5 cm and 3 cm and whose centres are 2 cm apart
Answer» Construct a direct common tangent to two circles of radii 5 cm and 3 cm and whose centres are 2 cm apart

Discussion

2246.	Find the lateral surface area, total surface area and volume of a square pyramid with the following specification: a = base edge length, h = slant height and H = height.
Answer» Find the lateral surface area, total surface area and volume of a square pyramid with the following specification: a = base edge length, h = slant height and H = height.

Discussion

2247.	if alpha and beta arethe zeroes of the polynomial f(x)=x^2+px+q then a polynomial having 1/alpha and 1/beta as its zeroes is
Answer» if alpha and beta arethe zeroes of the polynomial f(x)=x^2+px+q then a polynomial having 1/alpha and 1/beta as its zeroes is

Discussion

2248.	In Fig. 106, the value of x is(a) 22(b) 20(c) 21(d) 24
Answer» In Fig. 106, the value of x is (a) 22 (b) 20 (c) 21 (d) 24

Discussion

2249.	The standard deviation of 20 observations is√5 If each observation is multiplied by 2, find the standard deviation and variance of the resulting observations.
Answer» The standard deviation of 20 observations is $\sqrt{5}$ If each observation is multiplied by 2, find the standard deviation and variance of the resulting observations.

Discussion

2250.	Question 2 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x2+3x+1,3x4+5x3−7x2+2x+2
Answer» Question 2 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: $x^{2} + 3 x + 1, 3 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2$

2250.

Question 2 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x2+3x+1,3x4+5x3−7x2+2x+2

Answer»

Question 2 (ii)
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:

$x^{2} + 3 x + 1, 3 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2$

Discussion

Explore topic-wise InterviewSolutions in .

Question 112A rectangular sheet of dimensions 25 cm×7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

Find the value of p, in following system of linear equation have intimate number of solutions if yes ,find the solution 15x-7y=66,7x+2y=15.

{ The sum of all real values of }y for equation }}{\sqrt{2y+9}-\sqrt{y-4}=3, is equal to

Points P, Q and R in that order are dividing a line segment joining A(1, 6) and B (5, -2) in four equal parts. Find the coordinates o P, Q and R.

Tan(A+B-C)=1 Sin(B+C-A)=1 Cos(C+A-B)=1 then value of A

If }\operatorname{cot}10^°+\operatorname{tan}5^°=\operatorname{cosec}x^°, then find the value of }x.

Which of the following about x2+9 is true?

A man of height y is standing between two buildings with heights x and z respectively as shown in the figure. Then, which of the following statements is true about the relation of the heights?

For division of polynomials is it necessary to have only one variable?? What if th question would be divide polynomial a^3+b^2+c by (a+b) Is it even possible????? ​​​​​

Show that 5-23 is an irrational number.

3.Let ax^3+bx^2+ cx + d be a cubic polynomial. If its leading coefficient is unity such that p(2)=5,p(3)=4and its curve passes through the origin, then find the value of 3(b +c+ d)

Let r be a root of the equation x2+ 2x + 6 = 0. The value of (r + 2) (r + 3) (r + 4) (r + 5) is equal to.

In the following AP's find the missing terms: (i)-4. __, __, __, __, 6 (ii) __, 38, __, __, __, -22

Prove that the points (3, 0), (6, 4) and (−1, 3) are vertices of a right-angled isosceles triangle.

5cos square 60 degree + 4sec square 30 degree - tan square 45 degreewhole divided by sin square 30 degree +cos square 30 degree

In the given figure, a circle is inscribed in a quadrilateral ABCD in which ∠B = 90°. It AD = 23 cm, AB = 29 cm and DS = 5 cm, find the radius r of the circle.

If A, B and C are interior angles of ΔABC, then Prove that : sin(A+C)2=cosB2.

Solve the following:In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

What will be the simple interest on a sum of Rs 1820 from March 11, 2003 to May 23, 2003 at 7.5% rate?

The area of the largest triangle that can be inscribed in a semi-circle of radius r, is(a) r2(b) 2r2(c) r3(d) 2r3

The L.C.M. of 6x2−x−1, 3x2+7x+2 and 2x2+3x−2 is .

Find all the zeroes of the polynomial (2x raised to the power 4 - 9x raised to the power 3 + 5x raised to the power 2 + 3x - 1) if two of its zeroes are

Solve the following: In fig, quadrilateral ABCD is circumscribing a circle. Find the perimeter of the quadrilateral ABCD.

Question 20Find the ratio in which the line 2x+3y = 5 = 0 divides the line segment joining the points (8,-9) and (2,1). Also, find the coordinates of the point of division.

Point A and B are 70 km. a part on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if the travel towards each other, the meet in one hour. Find the speed of the two cars.

Match the correct factors of the following polynomials-

What is the solution for the following pair of linear equations?12x−1y=−11x+12y=8(Where x≠0,y≠0)

Prove that each of the following numbers is irrational. (i) √3 (ii) (2−√3)(iii) (3+√2) (iv) (2+√5)(v) (5+3√2) (vi) 3√7(vii) 3√5 (viii) (2−3√5)(ix) (√3+√5)

Pair the congruent figures.

Which of the following words has a Latin prefix?

Solve the following pair of equations by cross multiply method 57/x+y + 6/x-y=5 38/x+y + 21/x-y=9

There is a set of 7 natural numbers namely: 1, 2, 3, 4, 5, 6, 7. Another set of natural number are :1, 2, 3, 4, 5, 6. What are the values of medians in each set of numbers respectively?

Find the value of a for which (x + 2a) is a factor of (x5 – 4a2 x3 + 2x + 2a +3).

In the given figure, PA and PB are two tangents drawn from an external point P. If ∠APB=40∘, then ∠AOB=

In ΔABC, ∠ C=30∘, ∠ B=80∘, ∠ A=70∘, AB=12 cm as shown in the figure. Find the length of the side AC.⎡⎢⎣sin 30∘=0.5sin 70∘=0.93sin 80∘=0.98⎤⎥⎦

If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3 P(A) = 2 P(B) = P(C), then P(A) is equal to(a) 111 (b) 211 (c) 511 (d) 611

The following data shows monthly savings of 100 families. Find the difference of modal and mean monthly savings in rupees. Monthly &amp; Number savings (₹) of families1000−2000142000−3000153000−4000214000−5000275000−600025840

In □ABCD , side BC < side AD (Figure 5.32) side BC || side AD and if side BA ≅ side CD then prove that ∠ABC≅ ∠DCB.

If X = -3 and Y = -4 are two perpendicular lines. Point P (-3, 1) lies on the line X = -3. Find the perpendicular distance(in units) from the point P to the line Y = -4. __

Question 1The linear equation 2x - 5y = 7 has:A) A unique solutionB) Two solutionC) Infinitely many solutionsD) No solution

In the given figure, triangle ABC is right - angled at B. Given that DE=3 cm, AE=5 cm and D and E are the mid-points of the sides AB and AC respectively. If DE∥BC, find the sides AB and BC.

A right triangle is formed by connecting the 3 coordinates A, B and C as shown in figure. Find the coordinates of point B if AB and BC are parallel to the coordinate axes.

Write down the sequence of natural numbers which leave a remainder 3 on division by 6. What is the 10th term of this sequence? How many terms of this sequence are between 100 and 400?

Construct a direct common tangent to two circles of radii 5 cm and 3 cm and whose centres are 2 cm apart

Find the lateral surface area, total surface area and volume of a square pyramid with the following specification: a = base edge length, h = slant height and H = height.

if alpha and beta arethe zeroes of the polynomial f(x)=x^2+px+q then a polynomial having 1/alpha and 1/beta as its zeroes is

In Fig. 106, the value of x is(a) 22(b) 20(c) 21(d) 24

The standard deviation of 20 observations is√5 If each observation is multiplied by 2, find the standard deviation and variance of the resulting observations.

Question 2 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x2+3x+1,3x4+5x3−7x2+2x+2

For division of polynomials is it necessary to have only one variable?? What if th question would be divide polynomial a^3+b^2+c by (a+b) Is it even possible?????

In the following AP's find the missing terms: (i)-4. , , , , 6 (ii) , 38, , , , -22

The following data shows monthly savings of 100 families. Find the difference of modal and mean monthly savings in rupees. Monthly & Number savings (₹) of families1000−2000142000−3000153000−4000214000−5000275000−600025840