JEE Main Mathematics: Coordinate Geometry Practice Questions

12 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$Find the coordinates of the midpoint of the line segment joining (2, 4) and (6, 8).$
Easy
Q2.
$Find the distance between the points (2, 3) and (5, 7).$
Easy
Q3.
$Find the x-intercept of the line 2x + 3y = 12.$
Easy
Q4.
$What is the equation of a line with slope 2 and y-intercept 3?$
Easy
Q5.
$What is the slope of the line passing through the points (1, 2) and (3, 6)?$
Easy
Q6.
$The eccentricity of the hyperbola whose latus rectum is 8 and whose semi-conjugate axis is equal to half the distance between the foci is:$
Medium
Q7.
$The area of the triangle formed by the tangent to the parabola y squared = 4ax at the point (at squared, 2at) and the coordinate axes is:$
Medium
Q8.
$If the lines 2x + 3y + 1 = 0, 3x - y - 4 = 0, and x + 2y - 3 = 0 are concurrent, find the value of the constant that makes them intersect at a single point.$
Medium
Q9.
$The equation of the circle passing through the intersection of the circles x squared + y squared - 6x = 0 and x squared + y squared - 2y = 0 and having its cent$
Medium
Q10.
$I f t h e l in ey = m x + c i s a t an g e n tt o t h e p a r ab o l a y^{2} = 4 a x, t h e n t h e p o in t o f co n t a c t i s :$
Hard
Q11.
$T h e a r e a o f t h e t r ian g l e f or m e d b y t h e t an g e n t s a tt h e p o in t s (x 1, y 1), (x 2, y 2), an d (x 3, y 3) o n t h e p a r ab o l a y^{2} = 4 a x i s :$
Hard
Q12.
$If a circle passes through the intersection of the lines x + y = 2 and 2x - y = 1 and has its center at the origin, what is the radius of the circle?$
Hard

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