24740 + Interview Questions in Mathematics Page 49 InterviewSolution

2401.	Sort steps to construct quadrilateral ABCD with AB, BC, CD, AD, AC as 4 cm, 6 cm, 5.5 cm, 5 cm, 8 cm.
Answer» Sort steps to construct quadrilateral ABCD with AB, BC, CD, AD, AC as 4 cm, 6 cm, 5.5 cm, 5 cm, 8 cm.

Discussion

2402.	In ΔABC, with points P and Q on sides AB and AC, respectively such that APPB=AQQC. If PQ is extended to T such that PT = BC and PB = TC, then find the value of x.
Answer» In $Δ A B C$ , with points P and Q on sides AB and AC, respectively such that $\frac{A P}{P B} = \frac{A Q}{Q C}$ . If PQ is extended to T such that PT = BC and PB = TC, then find the value of x.

Discussion

2403.	Let f be a twice differentiable function, graph of which touches the x−axis at x=1 and f′′(1)=4. If limn→∞⎛⎜⎜⎜⎜⎜⎝limx→0⎛⎜⎜⎜⎜⎜⎝n∑r=1f(1+x2r)ln(1+tan2x+tan4x)⎞⎟⎟⎟⎟⎟⎠⎞⎟⎟⎟⎟⎟⎠=pq, where p,q∈N, then the least value of (p+q) is
Answer» Let $f$ be a twice differentiable function, graph of which touches the $x -$ axis at $x = 1$ and $f^{''} (1) = 4.$ If $lim n \to \infty ⎛ ⎜⎜⎜⎜⎜ ⎝ lim x \to 0 ⎛ ⎜⎜⎜⎜⎜ ⎝ \frac{n \sum r = 1 f (1 + \frac{x}{2^{r}})}{ln (1 + {tan}^{2} x + {tan}^{4} x)} ⎞ ⎟⎟⎟⎟⎟ ⎠ ⎞ ⎟⎟⎟⎟⎟ ⎠ = \frac{p}{q},$ where $p, q \in N,$ then the least value of $(p + q)$ is

Discussion

2404.	If l is the lower class limit of a class in a frequency distribution and m is the mid-point of the class, then the upper class limit of the class interval is ________.
Answer» If l is the lower class limit of a class in a frequency distribution and m is the mid-point of the class, then the upper class limit of the class interval is ________.

Discussion

2405.	The corresponding altitudes of two similar triangles are 6 and 9 cm. Find the ratios of their areas
Answer» The corresponding altitudes of two similar triangles are 6 and 9 cm. Find the ratios of their areas

Discussion

2406.	Diagonals AC and BD of a trapezium ABCD with AB ∥ DC intersect each other at O.then, ar (△AOD) = ___.
Answer» Diagonals AC and BD of a trapezium ABCD with AB $∥$ DC intersect each other at O.then, ar ( $△$ AOD) = ___.

Discussion

2407.	In the figure, the value of x is ________.
Answer» In the figure, the value of x is ________.

Discussion

2408.	Draw any circle and mark: A segment
Answer» Draw any circle and mark: A segment

Discussion

2409.	The angles of a triangle are 30°, 40° and 110°. Find the measures of its external angles.
Answer» The angles of a triangle are 30°, 40° and 110°. Find the measures of its external angles.

Discussion

2410.	What is Line segment
Answer» What is Line segment

Discussion

2411.	Factorise: 3x3−48x
Answer» Factorise: $3 x^{3} - 48 x$

Discussion

2412.	P, Q, R and S are mid-points of sides AB, BC, CD, and DA, respectively. If the length of a diagonal of the rectangle ABCD is 8 cm, then prove that the quadrilateral PQRS is a rhombus, and find its side length.
Answer» $P, Q, R$ and $S$ are mid-points of sides $A B, B C, C D$ , and $D A$ , respectively. If the length of a diagonal of the rectangle ABCD is $8 c m,$ then prove that the quadrilateral $P Q R S$ is a rhombus, and find its side length.

Discussion

2413.	For what value of m, the system of equations mx + 3y = m – 3 , 12x + my = m will have no solution?
Answer» For what value of m, the system of equations mx + 3y = m – 3 , 12x + my = m will have no solution?

Discussion

2414.	What is the value of 3√0.0270.008+3√−0.0270.008+2?
Answer» What is the value of $\sqrt[3]{\frac{0.027}{0.008}} + \sqrt[3]{\frac{- 0.027}{0.008}} + 2 ?$

Discussion

2415.	The value of tan2θ-sec2θcot2θ-cosec2θ is(a) –1(b) 12(c) -12(d) 1
Answer» The value of $\frac{\tan^{2} θ - \sec^{2} θ}{\cot^{2} θ - {cosec}^{2} θ}$ is (a) –1 (b) $\frac{1}{2}$ (c) $\frac{- 1}{2}$ (d) 1

Discussion

2416.	Observe the given construction, AF is the angular bisector of ∠BAE and AC is the angular bisector of ∠BAF. If ∠BAE = 60∘, then ∠BAC will be _____.
Answer» Observe the given construction, AF is the angular bisector of $∠ B A E$ and AC is the angular bisector of $∠ B A F$ . If $∠ B A E$ = $60^{\circ}$ , then $∠ B A C$ will be _____.

Discussion

2417.	4. The locus of the mid point of the focal radii of a variable point moving on the parabola, y 8x is a parabola whose (A) Latus rectum is half the latus rectum of the original parabola. (B) Vertex is (1, 0) (C) Directrix is y-axis (D) Focus has the co-ordinates (2, 0)
Answer» 4. The locus of the mid point of the focal radii of a variable point moving on the parabola, y 8x is a parabola whose (A) Latus rectum is half the latus rectum of the original parabola. (B) Vertex is (1, 0) (C) Directrix is y-axis (D) Focus has the co-ordinates (2, 0)

Discussion

2418.	What is the negation of the statement 3 + 7 = 10
Answer» What is the negation of the statement 3 + 7 = 10

Discussion

2419.	In square ABCD a point p is taken in interior such that AP:BP:CP=1:2:3 find angle APB
Answer» In square ABCD a point p is taken in interior such that AP:BP:CP=1:2:3 find angle APB

Discussion

2420.	In the given figure, the two lines AB and CD intersect at a point O such that ∠BOC=125∘. Find the values of x,y and z.
Answer» In the given figure, the two lines AB and CD intersect at a point O such that $∠ B O C = 125^{\circ}$ . Find the values of x,y and z.

2420.

In the given figure, the two lines AB and CD intersect at a point O such that ∠BOC=125∘. Find the values of x,y and z.

Answer»

In the given figure, the two lines AB and CD intersect at a point O such that $∠ B O C = 125^{\circ}$ . Find the values of x,y and z.

Discussion

2421.	The values of k for which ka→<a→ and ka→+12a→ is parallel to a→ holds true, are _______________.
Answer» The values of k for which $\|k \vec{a}\| < \|\vec{a}\| and k \vec{a} + \frac{1}{2} \vec{a}$ is parallel to $\vec{a}$ holds true, are _______________.

Discussion

2422.	Find the sum of the squares of the following: √3√2+1,√3√2−1,√2√3
Answer» Find the sum of the squares of the following: $\frac{\sqrt{3}}{\sqrt{2} + 1}, \frac{\sqrt{3}}{\sqrt{2} - 1}, \frac{\sqrt{2}}{\sqrt{3}}$

Discussion

2423.	120.A smooth wedge A is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block B placed at the top of the wedge takes time T to slide down the length of the wedge and the cable supporting the chamber is broken at the same instant, the block will be (a) take a longer time T to slide down the wedge (b) take a time shorter than T to slide down the wedge (c) remain at the top of the wedge (d) jump off the wedge
Answer» 120.A smooth wedge A is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block B placed at the top of the wedge takes time T to slide down the length of the wedge and the cable supporting the chamber is broken at the same instant, the block will be (a) take a longer time T to slide down the wedge (b) take a time shorter than T to slide down the wedge (c) remain at the top of the wedge (d) jump off the wedge

Discussion

2424.	In the given figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC + ∠DEF = 180°
Answer» In the given figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC + ∠DEF = 180°

Discussion

2425.	Find the value of 'y' if 5y=125
Answer» Find the value of 'y' if $5^{y} = 125$

Discussion

2426.	If remainder is same when polynomialp(x)=x3+8x2+17x+ax is divided by ( x + 2 ) and ( x + 1 ).Find the value of a.
Answer» If remainder is same when polynomial $p (x) = x^{3} + 8 x^{2} + 17 x + a x$ is divided by ( x + 2 ) and ( x + 1 ).Find the value of a.

Discussion

2427.	The curved surface area of a right circular cylinder is 4.4 m2. If the radius of its base is 0.7 m, find its (i) height and (ii) volume.
Answer» The curved surface area of a right circular cylinder is 4.4 m². If the radius of its base is 0.7 m, find its (i) height and (ii) volume.

Discussion

2428.	From the following information, prepare Bank Reconciliation Statement as on 31st March, 2018:(i) Debit balance shown by Pass Book ₹ 17,800.(ii) Cheque of ₹ 21,600 were issued in the last week of March but only cheques of ₹ 14,800 were presented for payment.(iii) Cheques of ₹ 10,750 were presnted to the bank. Out of them, a cheque of ₹ 4,200 was credited in the first week of April, 2018.(iv) A cheque of ₹ 1,200 was debited in the cash book but was not presented in the bank.(v) Insurance premium paid by bank ₹ 1,450.(vi) A bill of exchange of ₹ 6,200 which disocunted with the same was dishonoured but no entry was made in the Cash Book.(vii) Bank chearges, charged by the bank ₹ 350.
Answer» From the following information, prepare Bank Reconciliation Statement as on 31st March, 2018: (i) Debit balance shown by Pass Book ₹ 17,800. (ii) Cheque of ₹ 21,600 were issued in the last week of March but only cheques of ₹ 14,800 were presented for payment. (iii) Cheques of ₹ 10,750 were presnted to the bank. Out of them, a cheque of ₹ 4,200 was credited in the first week of April, 2018. (iv) A cheque of ₹ 1,200 was debited in the cash book but was not presented in the bank. (v) Insurance premium paid by bank ₹ 1,450. (vi) A bill of exchange of ₹ 6,200 which disocunted with the same was dishonoured but no entry was made in the Cash Book. (vii) Bank chearges, charged by the bank ₹ 350.

Discussion

2429.	Express 0.99999.... in the form of p/q. I did and get 9/9, that's equal to 1. But how does it even makes sense? Is 0.9999... equal to 1? Please explain.
Answer» Express 0.99999.... in the form of p/q. I did and get 9/9, that's equal to 1. But how does it even makes sense? Is 0.9999... equal to 1? Please explain.

Discussion

2430.	Find the number of households whose monthly expenditure on food is (a) less than Rs 2000 (b) more than Rs 3000 (c) between Rs 1500 and Rs 2500
Answer» Find the number of households whose monthly expenditure on food is (a) less than Rs 2000 (b) more than Rs 3000 (c) between Rs 1500 and Rs 2500

2430.

Find the number of households whose monthly expenditure on food is (a) less than Rs 2000 (b) more than Rs 3000 (c) between Rs 1500 and Rs 2500

Answer»

Find the number of households whose monthly expenditure on food is

(a) less than Rs 2000

(b) more than Rs 3000

(c) between Rs 1500 and Rs 2500

Discussion

2431.	The four sides of a quadrilateral are given by the equation (xy(x-2)(y-3) = 0). The equation of the line parallel to x-4y = 0 that divides the quadrilateral in two equal area is -a) x - 4y + 5 = 0b) x - 4y - 5 = 0c) 4y = x + 1d) 4y + 1 = x
Answer» The four sides of a quadrilateral are given by the equation (xy(x-2)(y-3) = 0). The equation of the line parallel to x-4y = 0 that divides the quadrilateral in two equal area is - a) x - 4y + 5 = 0 b) x - 4y - 5 = 0 c) 4y = x + 1 d) 4y + 1 = x

Discussion

2432.	Let A,B be two matrices of same order such that AB=A and BA=B. Then (A+B)2020 equals(Here, I is the identity matrix of same order.)
Answer» Let $A, B$ be two matrices of same order such that $A B = A$ and $B A = B .$ Then $(A + B)^{2020}$ equals (Here, $I$ is the identity matrix of same order.)

Discussion

2433.	Express each one of the following with rational denominator:(i) 13+2(ii) 16-5(iii) 1641-5(iv) 3053-35(v) 125-3(vi) 3+122-3(vii) 6-426+42(viii) 32+125-3(ix) b2a2+b2+a
Answer» Express each one of the following with rational denominator: (i) $\frac{1}{3 + \sqrt{2}}$ (ii) $\frac{1}{\sqrt{6} - \sqrt{5}}$ (iii) $\frac{16}{\sqrt{41} - 5}$ (iv) $\frac{30}{5 \sqrt{3} - 3 \sqrt{5}}$ (v) $\frac{1}{2 \sqrt{5} - \sqrt{3}}$ (vi) $\frac{\sqrt{3} + 1}{2 \sqrt{2} - \sqrt{3}}$ (vii) $\frac{6 - 4 \sqrt{2}}{6 + 4 \sqrt{2}}$ (viii) $\frac{3 \sqrt{2} + 1}{2 \sqrt{5} - 3}$ (ix) $\frac{b^{2}}{\sqrt{a^{2} + b^{2}} + a}$

Discussion

2434.	A floral design on a floor is made up of 16 tiles which are triangular ,the side of the triangle being 9 cm ,28 cm and 35 cm. Find the cost of polishing the tiles at the rate of 50p per cm square
Answer» A floral design on a floor is made up of 16 tiles which are triangular ,the side of the triangle being 9 cm ,28 cm and 35 cm. Find the cost of polishing the tiles at the rate of 50p per cm square

Discussion

2435.	Hi How to find class mark for a frequency polygon.
Answer» Hi How to find class mark for a frequency polygon.

2435.

Hi How to find class mark for a frequency polygon.

Answer»

Hi

How to find class mark for a frequency polygon.

Discussion

2436.	Question 8A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3m, then find how far she is away from the base of the pole.
Answer» Question 8 A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3m, then find how far she is away from the base of the pole.

Discussion

2437.

Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes: Outcome: No head One head Two heads Three heads Frequency: 14 38 36 12 If the three coins are simultaneously tossed again, compute the probability of:(i) 2 heads coming up.(ii) 3 heads coming up.(iii) at least one head coming up.(iv) getting more heads than tails.(v) getting more tails than heads.

Answer» Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes:

Outcome:	No head	One head	Two heads	Three heads
Frequency:	14	38	36	12

If the three coins are simultaneously tossed again, compute the probability of:

(i) 2 heads coming up.

(ii) 3 heads coming up.

(iii) at least one head coming up.

(iv) getting more heads than tails.

(v) getting more tails than heads.

Discussion

2438.	A plane is parallel to yz-plane, so it is perpendicular to(a) x-axis(b) y-axis(c) z-axis(d) none of these
Answer» A plane is parallel to yz-plane, so it is perpendicular to (a) x-axis (b) y-axis (c) z-axis (d) none of these

Discussion

2439.	In the given figure,ABCD is a \|\|gm in which DL⊥AB.If AB=10 cm and DL=4 cm then the ar(\|\|gm ABCD)=? (a) 40 cm2 (b) 80 cm2 (c) 20 cm2 (d) 196 cm2
Answer» In the given figure,ABCD is a \|\|gm in which $D L ⊥ A B$ .If AB=10 cm and DL=4 cm then the ar(\|\|gm ABCD)=? (a) $40 c m^{2}$ (b) $80 c m^{2}$ (c) $20 c m^{2}$ (d) $196 c m^{2}$

2439.

In the given figure,ABCD is a ||gm in which DL⊥AB.If AB=10 cm and DL=4 cm then the ar(||gm ABCD)=? (a) 40 cm2 (b) 80 cm2 (c) 20 cm2 (d) 196 cm2

Answer»

In the given figure,ABCD is a ||gm in which $D L ⊥ A B$ .If AB=10 cm and DL=4 cm then the ar(||gm ABCD)=?

(a) $40 c m^{2}$

(b) $80 c m^{2}$

(c) $20 c m^{2}$

(d) $196 c m^{2}$

Discussion

2440.	In the given figure, ∠ACD is an exterior angle of ∆ABC. ∠B = 40°, ∠A = 70°.Find the measure of ∠ACD.
Answer» In the given figure, $∠$ ACD is an exterior angle of $∆$ ABC. $∠$ B = 40^°, $∠$ A = 70^°. Find the measure of $∠$ ACD.

Discussion

2441.	Plot the following points (0, 2), (1, 5) and (2, 2.5) and verify if theylie on a line.
Answer» Plot the following points (0, 2), (1, 5) and (2, 2.5) and verify if they lie on a line.

Discussion

2442.	Results derived by using postulates and axioms are called ___ .
Answer» Results derived by using postulates and axioms are called ___ .

Discussion

2443.	Construct a Δ ABC, in which base BC = 3 cm, ∠B = 30° and AB + AC = 5.2 cm.
Answer» Construct a Δ ABC, in which base BC = 3 cm, ∠B = 30° and AB + AC = 5.2 cm.

Discussion

2444.	Determine the point on the graph of the equation 2x + 5y = 21 whose x-coordinate is the same as y-coordinate. [3 MARKS]
Answer» Determine the point on the graph of the equation 2x + 5y = 21 whose x-coordinate is the same as y-coordinate. [3 MARKS]

Discussion

2445.

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. Opinion Number of students like dislike 135 65 Find the probability that a student chosen at random(i) likes statistics, (ii) does not like it

Answer»

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.

Opinion

Number of students

like

dislike

135

65

Find the probability that a student chosen at random

(i) likes statistics, (ii) does not like it

Discussion

2446.	Question 3The area of the parallelogram ABCD is 90 cm2.Finda) ar (ABEF)b) ar (ΔABD)c) ar (ΔBEF)
Answer» Question 3 The area of the parallelogram ABCD is $90 c m^{2}$ . Find a) ar (ABEF) b) ar ( $Δ$ ABD) c) ar ( $Δ$ BEF)

Discussion

2447.	In the given figure, if AE=14ACand BD=13BC. then the ratio of areas ofΔEDC and ΔABE is
Answer» In the given figure, if $A E = \frac{1}{4} A C$ and $B D = \frac{1}{3} B C .$ then the ratio of areas of $Δ E D C a n d Δ A B E$ is

Discussion

2448.	The length of the perpendicular drawn from the point P(a, b, c) on z-axis is ___________________.
Answer» The length of the perpendicular drawn from the point P(a, b, c) on z-axis is ___________________.

Discussion

2449.	On 1st Jan 2016, Sanika decides to save Rs 10, Rs 11 on second day, Rs 12 on third day. If she decides to save like this, then on 31st Dec 2016 what would be her total saving ?
Answer» On 1st Jan 2016, Sanika decides to save Rs 10, Rs 11 on second day, Rs 12 on third day. If she decides to save like this, then on 31^st Dec 2016 what would be her total saving ?

Discussion

2450.

The length of an arc of a circle is 4 centimetres, what is the length of an arc of the same central angle, in a circle of double the radius?

Answer»

The length of an arc of a circle is 4 centimetres, what is the length of an arc of the same central angle, in a circle of double the radius?

Discussion

Explore topic-wise InterviewSolutions in .

Sort steps to construct quadrilateral ABCD with AB, BC, CD, AD, AC as 4 cm, 6 cm, 5.5 cm, 5 cm, 8 cm.

In ΔABC, with points P and Q on sides AB and AC, respectively such that APPB=AQQC. If PQ is extended to T such that PT = BC and PB = TC, then find the value of x.

Let f be a twice differentiable function, graph of which touches the x−axis at x=1 and f′′(1)=4. If limn→∞⎛⎜⎜⎜⎜⎜⎝limx→0⎛⎜⎜⎜⎜⎜⎝n∑r=1f(1+x2r)ln(1+tan2x+tan4x)⎞⎟⎟⎟⎟⎟⎠⎞⎟⎟⎟⎟⎟⎠=pq, where p,q∈N, then the least value of (p+q) is

If l is the lower class limit of a class in a frequency distribution and m is the mid-point of the class, then the upper class limit of the class interval is ________.

The corresponding altitudes of two similar triangles are 6 and 9 cm. Find the ratios of their areas

Diagonals AC and BD of a trapezium ABCD with AB ∥ DC intersect each other at O.then, ar (△AOD) = ___.

In the figure, the value of x is ________.

Draw any circle and mark: A segment

The angles of a triangle are 30°, 40° and 110°. Find the measures of its external angles.

What is Line segment

Factorise: 3x3−48x

P, Q, R and S are mid-points of sides AB, BC, CD, and DA, respectively. If the length of a diagonal of the rectangle ABCD is 8 cm, then prove that the quadrilateral PQRS is a rhombus, and find its side length.

For what value of m, the system of equations mx + 3y = m – 3 , 12x + my = m will have no solution?

What is the value of 3√0.0270.008+3√−0.0270.008+2?

The value of tan2θ-sec2θcot2θ-cosec2θ is(a) –1(b) 12(c) -12(d) 1

Observe the given construction, AF is the angular bisector of ∠BAE and AC is the angular bisector of ∠BAF. If ∠BAE = 60∘, then ∠BAC will be _____.

4. The locus of the mid point of the focal radii of a variable point moving on the parabola, y 8x is a parabola whose (A) Latus rectum is half the latus rectum of the original parabola. (B) Vertex is (1, 0) (C) Directrix is y-axis (D) Focus has the co-ordinates (2, 0)

What is the negation of the statement 3 + 7 = 10

In square ABCD a point p is taken in interior such that AP:BP:CP=1:2:3 find angle APB

In the given figure, the two lines AB and CD intersect at a point O such that ∠BOC=125∘. Find the values of x,y and z.

The values of k for which ka→&lt;a→ and ka→+12a→ is parallel to a→ holds true, are _______________.

Find the sum of the squares of the following: √3√2+1,√3√2−1,√2√3

In the given figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC + ∠DEF = 180°

Find the value of 'y' if 5y=125

If remainder is same when polynomialp(x)=x3+8x2+17x+ax is divided by ( x + 2 ) and ( x + 1 ).Find the value of a.

The curved surface area of a right circular cylinder is 4.4 m2. If the radius of its base is 0.7 m, find its (i) height and (ii) volume.

Express 0.99999.... in the form of p/q. I did and get 9/9, that's equal to 1. But how does it even makes sense? Is 0.9999... equal to 1? Please explain.

Find the number of households whose monthly expenditure on food is (a) less than Rs 2000 (b) more than Rs 3000 (c) between Rs 1500 and Rs 2500

The four sides of a quadrilateral are given by the equation (xy(x-2)(y-3) = 0). The equation of the line parallel to x-4y = 0 that divides the quadrilateral in two equal area is -a) x - 4y + 5 = 0b) x - 4y - 5 = 0c) 4y = x + 1d) 4y + 1 = x

Let A,B be two matrices of same order such that AB=A and BA=B. Then (A+B)2020 equals(Here, I is the identity matrix of same order.)

Express each one of the following with rational denominator:(i) 13+2(ii) 16-5(iii) 1641-5(iv) 3053-35(v) 125-3(vi) 3+122-3(vii) 6-426+42(viii) 32+125-3(ix) b2a2+b2+a

A floral design on a floor is made up of 16 tiles which are triangular ,the side of the triangle being 9 cm ,28 cm and 35 cm. Find the cost of polishing the tiles at the rate of 50p per cm square

Hi How to find class mark for a frequency polygon.

Question 8A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3m, then find how far she is away from the base of the pole.

A plane is parallel to yz-plane, so it is perpendicular to(a) x-axis(b) y-axis(c) z-axis(d) none of these

In the given figure,ABCD is a ||gm in which DL⊥AB.If AB=10 cm and DL=4 cm then the ar(||gm ABCD)=? (a) 40 cm2 (b) 80 cm2 (c) 20 cm2 (d) 196 cm2

In the given figure, ∠ACD is an exterior angle of ∆ABC. ∠B = 40°, ∠A = 70°.Find the measure of ∠ACD.

Plot the following points (0, 2), (1, 5) and (2, 2.5) and verify if theylie on a line.

Results derived by using postulates and axioms are called ___ .

Construct a Δ ABC, in which base BC = 3 cm, ∠B = 30° and AB + AC = 5.2 cm.

Determine the point on the graph of the equation 2x + 5y = 21 whose x-coordinate is the same as y-coordinate. [3 MARKS]

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. Opinion Number of students like dislike 135 65 Find the probability that a student chosen at random(i) likes statistics, (ii) does not like it

Question 3The area of the parallelogram ABCD is 90 cm2.Finda) ar (ABEF)b) ar (ΔABD)c) ar (ΔBEF)

In the given figure, if AE=14ACand BD=13BC. then the ratio of areas ofΔEDC and ΔABE is

The length of the perpendicular drawn from the point P(a, b, c) on z-axis is ___________________.

On 1st Jan 2016, Sanika decides to save Rs 10, Rs 11 on second day, Rs 12 on third day. If she decides to save like this, then on 31st Dec 2016 what would be her total saving ?

The length of an arc of a circle is 4 centimetres, what is the length of an arc of the same central angle, in a circle of double the radius?

The values of k for which ka→<a→ and ka→+12a→ is parallel to a→ holds true, are _______________.