KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 126 - 129 of 172

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Question number: 126

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

4

c.

3

d.

Question number: 127

» Limits & Continuity » Limits

Appeared in Year: 2013

MCQ▾

Question

Let be a function such that

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 128

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

Let be real numbers such that,

For every natural number . Then is equal to – (Model Paper)

Choices

Choice (4) Response

a.

3

b.

15

c.

7

d.

12

Question number: 129

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

An ellipse inscribed in a semi – circle touches the circular are at two distinct points and also touches the bounding diameter. Its major axis is parallel to the bounding diameter. When the ellipse has the maximum possible area, its eccentricity is –

Choices

Choice (4) Response

a.

b.

c.

d.

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