Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 29 - 34 of 64

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 265 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

Question number: 29

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

Let ABCD be a square of side length 1. Let P, Q, R, S be points in the interiors of the sides AD, BC, AB, CD, respectively, such that PQ and RS intersect at right angles. If then RS equals –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 30

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

In the figure given below, if the areas of the two regions are equal then which of the following is true?

Two regions having equal areas

Two Regions Having Equal Areas

In figure two regions are shown. x and y are the length of the sides.

Choices

Choice (4) Response

a.

x = y

b.

x = 3y

c.

x = 2y

d.

2x = y

Question number: 31

» 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: 32

» 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: 33

» 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: 34

» 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

f Page
Sign In