Coordinate Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 6 - 10 of 20

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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.

22

d.

2

Question number: 7

» Coordinate Geometry » Ellipse

Appeared in Year: 2010

MCQ▾

Question

Let P be an arbitrary point on the ellipse x2a2+y2b21,a>b>0 . 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 ax+9y=5 and 4x+by=3 are parallel, then the least possible value of a+b 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 ex2+πy22e2x2π2y+e3+π3=πe . Suppose P is any point on the conic and S1, S2 are the foci of the conic, then the maximum value of (PS1+PS2) is

Choices

Choice (4) Response

a.

2e

b.

πe

c.

2π

d.

πe

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