If $x = my + c$ is a normal to the parabola ${x^2} = 4ay$,then the value of $c$ is
- A$ - 2am - a{m^3}$
- B$2am + a{m^3}$
- C$ - \frac{2a}{m} - \frac{a}{m^3}$
- D$\frac{2a}{m} + \frac{a}{m^3}$
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Similar Questions
For the parabola $y^2+6y-2x=-5$,consider the following statements:
$I$. The vertex is $(-2, -3)$.
$II$. The directrix is $y+3=0$.
Which of the following is correct?
$I$. The vertex is $(-2, -3)$.
$II$. The directrix is $y+3=0$.
Which of the following is correct?
If tangents are drawn from the point $(-1, 2)$ to the parabola $y^2 = 4x$, what is the area of the triangle formed by the chord of contact and the tangents (in $\sqrt{2}$)?
Difficult
View SolutionThe condition that the line $ax + by + c = 0$ is tangent to the parabola $y^2 = 4ax$ is:
Medium
View SolutionThe vertex of the parabola is at $(1, 2)$ and its axis is parallel to the $y$-axis. If the parabola passes through $(0, 6)$,then its latus rectum is:
The smallest value of $x^2 - 3x + 3$ in the interval $(-3, 3/2)$ is
Easy
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