Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 30 - 34 of 164

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Question number: 30

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABCD be a square and let P be point on segment CD such that DP: PC = 1: 2. Let Q be a point on segment AP such that ∠BQP = 90°. Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 31

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

A semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units. The shaded region inside the smaller semi-circle but outside the larger semi-circle is called a lune. The area of the lune is

Two semi-circle spheres

Two Semi-Circle Spheres

In figure a semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 32

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

In a triangle ABC with ∠A < ∠B < ∠C, points D, E, F are on the interior of segments BC, CA, AB, respectively. Which of the following triangles CANNOT be similar to triangle ABC?

Choices

Choice (4) Response

a.

Triangle ABD

b.

Triangle BCE

c.

Triangle CAF

d.

Triangle DEF

Question number: 33

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

The angle bisectors BD and CE of a triangle ABC are divided by the in centre I in the ratios 3: 2 and 2: 1 respectively. Then the ratio in which I divide the angle bisector through A is

Choices

Choice (4) Response

a.

11: 4

b.

6: 5

c.

7: 4

d.

3: 1

Question number: 34

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

Consider a square ABCD of side 12 and let M, N be the midpoints of AB, CD respectively. Take a point P on MN and let AP = r, PC = s. Then the area of the triangle whose sides are r, s, 12 is

Choices

Choice (4) Response

a.

36

b.

72

c.

Equation

d.

Equation

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