• 30°
• 120°
• 40°
• 60°

• 4 : 9 : 1
• 2 ∶ 3 ∶ 4
• 5 ∶ 6 ∶ 7
• 2 ∶ 2 ∶ 1

• 45°
• 60°
• 90°
• 75°

• 9 cm
• 7 cm
• 23 cm
• 11 cm

• 6 cm
• 4 cm
• 6√2 cm
• 4√2 cm

• 100°
• 110°
• 120°
• 140°
• #### 7.  In ΔABC, ∠B = 35°, ∠C = 65° and the bisector AD of ∠BAC meets BC at D. Then, which of the following is true?

• AD > BD > CD
• BD > AD > CD
• AD > CD > BD
• None of these

• 3√11 – 7
• 5√13 – 8
• 4√7 – 11
• 6√11 – 9
• #### 9.  Chords AB and CD of a circle intersect at E and are perpendicular to each other. Segments AE, EB and ED are of length 2 cm, 6 cm and 3 cm respectively. Then the length of the diameter of the circle in cm is

• √65
• $$\frac{1}{2}\sqrt {65}$$
• 65
• 65/2

• 5/4
• 3/2
• 4/5
• 2/3
• #### 11.  ∠A, ∠B, ∠C are three angles of a triangle. If ∠A - ∠B = 18°, ∠B - ∠C = 30°, then ∠A, ∠B and ∠C are

• 80°, 60°, 44°
• 70°, 60°, 30°
• 82o, 64o, 34o
• 80°, 64°, 45°

• 0
• 1
• 2
• 3

• 1:√2
• √2:√3
• 1:3
• 1:2
• #### 14.  A right angled triangle ABC with right angled at C and the length of the perpendicular from C on AB is p. If the lengths of the sides BC, CA and AB are a, b and c respectively, then which among the following is true?

• $$\frac{1}{{{p^2}}} = \frac{1}{{{b^2}}} = \frac{1}{{{a^3}}}$$
• $$\frac{1}{{{b^2}}} = \frac{1}{{{p^2}}} - \frac{1}{{{a^2}}}$$
• $$\frac{1}{{{p^2}}} + \frac{1}{{{a^2}}} = \frac{1}{{{b^2}}}$$
• $$\frac{1}{{{p^2}}} = \frac{1}{{{a^2}}} - \frac{1}{{{b^2}}}$$

• 1/2
• 1/4
• 1/8
• 1/16

• 36
• 32
• 58
• 54

• Obtuse
• Equilateral
• Right
• Isosceles

• (115°, 130°)
• (130°, 115°)
• (125°, 115°)
• (115°, 125°)

• 162√3
• 216√3
• 108√3
• 54√3

• 18°
• 20°
• 22°
• 30°

• 1 : 2
• 1 : 3
• 2 : 3
• 3 : 4

• 100°
• 90°
• 80°
• 130°

• 3
• 1
• 2
• 4
• #### 24.  In a rectangle,

• Diagonals bisect opposite angles
• Consecutive sides are congruent
• All sides are congruent
• Diagonals form two congruent triangles

• 28 cm
• 32 cm
• 36 cm
• 44 cm

• 2 x 4√3 cm
• 8√3 cm
• 4 × 4√3 cm
• 4√3 cm

• 180° - ∠A
• 180° + ∠A/2
• 90° - ∠A/2
• 90° + ∠A/2
• #### 28.  ABC is a triangle in which ∠ABC = 90°. BD is perpendicular to AC. Which of the following is TRUE? I. Triangle BAD is similar to triangle CBD. II. Triangle BAD is similar to triangle CAB. III. Triangle CBD is similar to triangle CAB.

• Only I
• Only II and III
• Only I and IIII
• All I, II and III

• 2
• 3
• 5
• 7

• 3 : 4
• 4 : 5
• 5 : 4
• 3 : 5
Report Question
access_time