KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 55 - 60 of 265

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Question number: 55

» 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 Equation and Equation , then BP: PC is.

Choices

Choice (4) Response

a.

8: 7

b.

4: 3

c.

4: 5

d.

2: 1

Question number: 56

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2009

MCQ▾

Question

The number of pairs of reals (x, y) such that Equation and Equation is

Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

1

Question number: 57

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2013

MCQ▾

Question

The least positive integer n for which,

Equation is

Choices

Choice (4) Response

a.

25

b.

26

c.

24

d.

27

Question number: 58

» Coordinate Geometry » Circles

Appeared in Year: 2013

MCQ▾

Question

Tangents to a circle at points P and Q on the circle intersect at a point R. If PQ = 6 and PR = 5 then the radius of the circle is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

4

Question number: 59

» 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: 60

» 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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