KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 125 - 127 of 172

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Question number: 125

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

Let Equation and let Equation , be circles with radii Equation respectively. Assume that Equation and Equation touch externally for Equation . It is also given that the Equation axis and the line Equation are tangential to each of the circles. Then Equation are in –

Choices

Choice (4) Response

a.

An arithmetic progression with common difference Equation

b.

An arithmetic progression with common difference Equation

c.

A geometric progression with common ratio Equation

d.

A geometric progression with common ratio Equation

Question number: 126

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle PQR in the Equation with vertices Equation and Equation . The line Equation intersect line QR and line PR at point M and point N, respectively, such that the area of triangle PQR is Equation of area of triangle MNR. Therefore value of Equation is – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

4

c.

3

d.

Equation

Question number: 127

» Limits & Continuity » Limits

Appeared in Year: 2013

MCQ▾

Question

Let Equation be a function such that

Equation

Then which of the following is false? (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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