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What is the slope of the line perpendicular to the line 4x – 3y + 8 = 0?
1. -4/3
2. -3/4
3. 4/3
4. 3/4

Find the equation of the line passing through the point (–1, 6) and slope = 3.
1. y = 3x + 6
2. 3y = x + 9
3. y = 3x + 9
4. y = 3x – 1

Fill in the blank,The number of capital letters of the English alphabets having no line of symmetry is__________.

How many diagonals can be drawn by joining the vertices of an octagon?
1. 20
2. 24
3. 28
4. 64

The area of the incircle of an equilateral triangle is 49π cm2. Find the area of its circumcircle.


1. 196π cm2
2. 192π cm2
3. 49π cm2
4. 169π cm2

Which of the following given statement(s) is / are TRUE?

A: Number of diagonals in a polygon of side ‘n’ is given by n (n + 6) / 4.

B: Number of diagonals in a polygon of side is 12 are 54.

C: Any quadrilateral in which opposite angles are supplementary is called a cyclic quadrilateral.
1. A and B
2. B and C
3. All
4. A and C

Which of the following given statement(s) is / are TRUE?

In a ∆ABC, ∠A = 70° and I, O, H and X are incentre, circumcentre, orthocentre, and ex-centre of triangle, respectively.

A: ∠BIC = 105°

B: ∠BOC = 140°

C: ∠BHC = 120°

D : ∠BXC = 55°
1. A, B and D
2. A and D
3. B and D
4. B, C and D

In ΔABC, ∠A – ∠B = 33°, ∠B – ∠C = 18° What is the sum of the smallest and the largest angles of the triangle?


1.

92° 


2. 143° 
3. 125° 
4. 108°

Which of the following statements is/are correct?

I. If the lengths of two line segments are equal, then the line segments are said to be congruent.

II. Two angles are congruent if their measures are equal. Thus two congruent angles have equal measures.


1. Both I and II
2. Neither I or II
3. Only II
4. Only I

In ΔABC, P and Q are points on sides AB and AC respectively and PQ || BC. If length of sides AP, AB and PQ are 5 cm,15 cm and 10 cm respectively, find the length of side BC? 
1. 20 cm
2. 3 cm
3. 15 cm
4. 30 cm

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