Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 17 - 21 of 164

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Question number: 17

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

Suppose S1 and S2 are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10, then RS is

Two unequal circles with three tangents

Two Unequal Circles With Three Tangents

In figure two unequal circles with two tangents are shown. AB and CD are the direct common tangents to these circles. And a transverse common tangent PQ cut AB in R and CD in S.

Choices

Choice (4) Response

a.

9

b.

8

c.

11

d.

10

Question number: 18

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

In a triangle ABC with ∠A = 90°, P is a point on BC such that PA: PB = 3: 4. If AB=7 and AC=5 , then BP: PC is.

Choices

Choice (4) Response

a.

8: 7

b.

4: 3

c.

4: 5

d.

2: 1

Question number: 19

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2009

MCQ▾

Question

The number of pairs of reals (x, y) such that x=x2+y2 and y=2xy is

Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

1

Question number: 20

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2013

MCQ▾

Question

A person X is running around a circular track completing one round every 40 seconds. Another person Y running in the opposite direction meets X every 15 second. The time, expressed in seconds, taken by Y to complete one round is

Choices

Choice (4) Response

a.

55

b.

12.5

c.

25

d.

24

Question number: 21

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

MCQ▾

Question

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is

Choices

Choice (4) Response

a.

10

b.

9

c.

8

d.

infinitely many

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