KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 130 - 133 of 172

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Question number: 130

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

The vertices of the base of an isosceles triangle lie on a parabola and the base is a part of the line . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 131

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

Let be a triangle such that . Let be the midpoint of and be a point on such that is perpendicular to . If then the ratio equals:

Choices

Choice (4) Response

a.

1

b.

c.

d.

Question number: 132

» Statistics and Probability » Probability of an Event

Appeared in Year: 2015

MCQ▾

Question

Let and let a subset of be chosen so that every pair of elements of A differ by at least 3. (For example, if , A can be , {2} or {1,5} among others). When let the probability that be and let the probability that be . Then –

Choices

Choice (4) Response

a.

and

b.

and

c.

and

d.

and

Question number: 133

» Integral Calculus » Evaluation of Definite Integrals

Appeared in Year: 2015

MCQ▾

Question

Define a function by , where is fixed natural number. Then

is –

Choices

Choice (4) Response

a.

b.

c.

d.

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