Analytical Geometry — Lines, Circles, Conics & Three Dimensions — Practice

Question 1

The distance between the points A(3, -2) and B(-1, 1) is

Accepted Answer

A

Question 2

The point dividing the line segment joining A(2, 3) and B(7, 8) internally in the ratio 2:3 is

Accepted Answer

A

Question 3

The area of the triangle with vertices (1, 2), (3, 4) and (5, 10) is

Accepted Answer

A

Question 4

The equation of the line passing through (2, -1) and (5, 8) is

Accepted Answer

A

Question 5

The acute angle between the lines √3x - y + 1 = 0 and x - √3y + 1 = 0 is

Accepted Answer

A

Question 6

The distance of the point (1, 5) from the line 3x - 4y + 10 = 0 is

Accepted Answer

D

Question 7

The three lines x + y = 1, 2x + 3y = 5 and x - ky = 3 are concurrent for k equal to

Accepted Answer

A

Question 8

If the lines represented by 3x² + 7xy + 2y² = 0 are inclined to each other at angle θ, then tanθ equals

Accepted Answer

A

Question 9

The centre and radius of the circle x² + y² - 6x + 8y - 11 = 0 are

Accepted Answer

A

Question 10

For what value(s) of c is the line y = x + c tangent to the circle x² + y² = 8?

Accepted Answer

A

Question 11

For the parabola y² = 12x, the focus and the length of the latus rectum are

Accepted Answer

A

Question 12

The eccentricity of the ellipse 9x² + 25y² = 225 is

Accepted Answer

A

Question 13

The distance between the points P(2, 3, 4) and Q(5, 7, 16) is

Accepted Answer

A

Question 14

If a line has direction ratios (1, -2, 2), its direction cosines are

Accepted Answer

A

Question 15

The distance of the point (2, 3, -1) from the plane x + 2y - 2z - 4 = 0 is

Accepted Answer

A

Question 16

The angle between the planes x + y + 2z = 9 and 2x - y + z = 15 is

Accepted Answer

A

Practice — Analytical Geometry — Lines, Circles, Conics & Three Dimensions