KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 122 - 126 of 265

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Question number: 122

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

A square ABCD is inscribed in a circle of radius 3. Two tangents to a circle at points A and B on the circle intersect at a point E. If AE = 4 then find the length of the sides of square.

Choices

Choice (4) Response

a.

24

b.

12

c.

d.

Question number: 123

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

Let P be an interior point of a triangle ABC. Let Q and R be the reflections of P in AB and AC, respectively. If Q, A, R are collinear then ∠A equals -

Choices

Choice (4) Response

a.

900

b.

600

c.

300

d.

1200

Question number: 124

» Basic Mathematics » Arithmetic » Solving Expressions

MCQ▾

Question

If α, β, γ and θ are positive real numbers such that,

, then find the value of,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 125

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

The area of a rectangular PQRS is 36. Points M and N are on the side RS, such that PM = QN = 5. Find the length of MN. (Lengths of sides of the rectangular are integer)

Choices

Choice (4) Response

a.

5

b.

3

c.

4

d.

2

Question number: 126

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

Question

Suppose P is a point on the circle with centre O and radius 2; R is a point outside the circle such that in triangle PRO, ∠POR = 40. Let S be the point where the segment PS intersects the given circle. If PS = SR, then measure of ∠SRP equals,

Choices

Choice (4) Response

a.

460

b.

880

c.

440

d.

480

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