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

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

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.

Equation

d.

Equation

Question number: 7

» Coordinate Geometry » Ellipse

Appeared in Year: 2010

MCQ▾

Question

Let P be an arbitrary point on the ellipseEquation . 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 Equation and Equation are parallel, then the least possible value of Equation 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 conicEquation . Suppose P is any point on the conic and S1, S2 are the foci of the conic, then the maximum value of Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

f Page
Sign In