JEE Main · Mathematics

Coordinate geometry

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

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

All 32 questions

What is the distance of the point $(3, - 3)$ from the line $6 x + 8 y + 4 = 0$ ?
What is the distance of the point $(- 3, 2)$ from the line $3 x + 4 y - 15 = 0$ ?
What is the distance of the point $(- 2, - 1)$ from the line $5 x + 12 y + 19 = 0$ ?
What is the distance of the point $(- 2, 4)$ from the line $5 x + 12 y - 4 = 0$ ?
What is the distance of the point $(0, 5)$ from the line $8 x + 15 y - 12 = 0$ ?
What is the distance of the point $(6, - 1)$ from the line $8 x + 15 y + 10 = 0$ ?
What is the distance of the point $(2, - 3)$ from the line $8 x + 15 y - 4 = 0$ ?
What is the distance of the point $(- 3, - 2)$ from the line $3 x + 4 y + 7 = 0$ ?
What is the distance of the point $(6, 2)$ from the line $5 x + 12 y - 15 = 0$ ?
What is the distance of the point $(3, - 3)$ from the line $8 x + 15 y - 13 = 0$ ?
What is the distance of the point $(- 2, 3)$ from the line $3 x + 4 y - 10 = 0$ ?
What is the distance of the point $(- 2, 3)$ from the line $3 x + 4 y - 14 = 0$ ?
What is the distance of the point $(0, - 1)$ from the line $5 x + 12 y - 5 = 0$ ?
What is the distance of the point $(4, 5)$ from the line $6 x + 8 y + 2 = 0$ ?
What is the distance of the point $(- 3, 3)$ from the line $8 x + 15 y + 6 = 0$ ?
What is the distance of the point $(3, 3)$ from the line $6 x + 8 y + 17 = 0$ ?
What is the distance of the point $(- 2, 2)$ from the line $5 x + 12 y + 0 = 0$ ?
What is the distance of the point $(0, - 1)$ from the line $3 x + 4 y + 7 = 0$ ?
What is the distance of the point $(5, - 1)$ from the line $6 x + 8 y + 9 = 0$ ?
What is the distance of the point $(1, 1)$ from the line $3 x + 4 y + 10 = 0$ ?
What is the distance of the point $(6, - 1)$ from the line $3 x + 4 y - 10 = 0$ ?
What is the distance of the point $(0, 5)$ from the line $3 x + 4 y - 20 = 0$ ?
What is the distance of the point $(- 3, 0)$ from the line $6 x + 8 y + 12 = 0$ ?
What is the distance of the point $(0, 4)$ from the line $8 x + 15 y - 6 = 0$ ?
What is the distance of the point $(- 3, 3)$ from the line $5 x + 12 y + 17 = 0$ ?
What is the distance of the point $(4, 4)$ from the line $6 x + 8 y - 4 = 0$ ?
What is the distance of the point $(0, 1)$ from the line $6 x + 8 y + 10 = 0$ ?
What is the distance of the point $(- 2, 1)$ from the line $3 x + 4 y + 8 = 0$ ?
What is the distance of the point $(5, 3)$ from the line $5 x + 12 y - 9 = 0$ ?
What is the distance of the point $(0, 0)$ from the line $6 x + 8 y + 15 = 0$ ?
A common tangent to the parabola $y^{2} = 12 x$ and the circle $x^{2} + y^{2} = \frac{9}{2}$ cuts the coordinate axes at two points. What is the area of the triangle formed by this tangent and the axes?
Three normals to the parabola $y^{2} = 8 x$ are drawn from the point $(10, 0)$ . The area of the triangle formed by their feet on the parabola is

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