WBJEE · Mathematics

Coordinate geometry

8 practice questions, each with the answer and an explanation.

Practise Coordinate geometry now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

What is the distance of the point $(- 2, 2)$ from the line $3 x + 4 y - 4 = 0$ ?
What is the distance of the point $(1, 0)$ from the line $3 x + 4 y + 18 = 0$ ?
What is the distance of the point $(- 1, 6)$ from the line $3 x + 4 y - 15 = 0$ ?
What is the distance of the point $(6, - 2)$ from the line $5 x + 12 y - 19 = 0$ ?
What is the distance of the point $(6, - 1)$ from the line $6 x + 8 y + 6 = 0$ ?
What is the distance of the point $(- 2, - 3)$ from the line $5 x + 12 y + 11 = 0$ ?
The circles $(x - 1)^{2} + (y - 2)^{2} = 169$ and $(x - 15)^{2} + (y - 2)^{2} = 225$ intersect at two points. The length of their common chord is
The tangent at a variable point of the ellipse $\frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1$ meets the coordinate axes at $A$ and $B$ . The minimum value of $A B$ is