Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 10 of 22

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Question number: 6

» Coordinate Geometry » Intercepts of a Line on Coordinate Axes

Appeared in Year: 2010

MCQ▾

Question

A circle touches the parabola y2 = 4x at (1,2) and also touches its directrix. The y-coordinates of the point of contact of the circle and the directrix is –

Choices

Choice (4) Response

a.

4

b.

3

c.

d.

Question number: 7

» Coordinate Geometry » Ellipse

Appeared in Year: 2010

MCQ▾

Question

Let P be an arbitrary point on the ellipse. Suppose F1 and F2 are the foci of the ellipse. The locus of the centroid of the triangle PF1F2 as P moves on the ellipse is –

Choices

Choice (4) Response

a.

A hyperbola

b.

A circle

c.

A parabola

d.

An ellipse

Question number: 8

» Coordinate Geometry » Straight Lines

Appeared in Year: 2013

MCQ▾

Question

If a, b are positive real numbers such that the lines and are parallel, then the least possible value of is–

Choices

Choice (4) Response

a.

8

b.

12

c.

13

d.

6

Question number: 9

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle ABC in the XY – plane with vertices A = (0,0), B = (1,1) and C = (9,1). If the line x = a divides the triangle into two parts of equal area, then a equals –

Choices

Choice (4) Response

a.

3

b.

4.5

c.

3.5

d.

4

Question number: 10

» Coordinate Geometry » Conic Sections

Appeared in Year: 2012

MCQ▾

Question

Consider the conic. Suppose P is any point on the conic and S1, S2 are the foci of the conic, then the maximum value of is

Choices

Choice (4) Response

a.

b.

c.

d.

f Page
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