Question:medium
The equation of one of the common tangents to the parabola y²=8x and x²+y²-12x+4=0 is
The equation of one of the common tangents to the parabola y²=8x and x²+y²-12x+4=0 is
Show Hint
Substitute the line in both equations to verify tangency.
Updated On: Mar 20, 2026
- \(y=-x+2\)
- \(y=x-2\)
- \(y=x+2\)
- None of these
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Coordinate Geometry
- If eccentricity of an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, which passes through the point $(3, 4)$ is $\frac{\sqrt{5}}{3}$, then length of latus rectum of ellipse, is :
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
A circle meets coordinate axes at 3 points and cuts equal intercepts. If it cuts a chord of length $\sqrt{14}$ unit on $x + y = 1$, then square of its radius is (centre lies in first quadrant):
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- Let a circle of radius $4$ pass through the origin $O$, the points $A(-\sqrt{3}a,0)$ and $B(0,-\sqrt{2}b)$, where $a$ and $b$ are real parameters and $ab\neq0$. Then the locus of the centroid of $\triangle OAB$ is a circle of radius
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- Let $A(1,0)$, $B(2,-1)$ and $C\left(\dfrac{7}{3},\dfrac{4}{3}\right)$ be three points. If the equation of the bisector of the angle $ABC$ is $\alpha x+\beta y=5$, then the value of $\alpha^2+\beta^2$ is
- JEE Main - 2026
- Mathematics
- Coordinate Geometry
- Want to practice more? Try solving extra ecology questions todayView All Questions