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Coordinate Geometry — JEE Mathematics MCQs

Master Coordinate Geometry for JEE Main with free mathematics MCQs. Each question includes a detailed solution and instant feedback — practice at easy, medium, and hard difficulty levels to build exam-ready confidence.

6 practice questions with instant feedback and solutions.

Easy•Coordinate Geometry

The distance between the parallel lines 3x + 4y - 5 = 0 and 3x + 4y + 10 = 0 is:

Easy•Coordinate Geometry

A line

y=m x+1

intersects the circle

(x-3)^{2}+(y+2)^{2}=25

at the points

P

and

Q

. If the midpoint of the line segment

P Q

has

x

-coordinate

-\frac{3}{5}

, then which one of the following options is correct?

Easy•Coordinate Geometry

The distance between the parallel lines

3x + 4y - 5 = 0

and

6x + 8y + 15 = 0

is:

Hard•Coordinate Geometry

[JEE Mains 2026] The image of point P(1, 2, a) with respect to the line (x-1)/2 = (y-1)/1 = (z-1)/1 is point Q(5, b, c). Find the value of a + b + c.

Hard•Coordinate Geometry

[JEE Mains 2026] If two circles x² + y² - 4x + 2y - 4 = 0 and (x-1)² + (y-4)² = r² intersect at two distinct points, what is the range of r?

Hard•Coordinate Geometry

[JEE Mains 2026] The locus of the point of intersection of tangents drawn to the circle x² + y² = 9 which subtend an angle of 60° at the center is: