Tag: maths
Questions Related to maths
The number of focal chord(s) of length $\dfrac{4}{7}$ in the parabola $7y^2 = 8x$ is
Find the length of the chord of the parabola $y^2\, =\, 8x$, whose equation is $x + y = 1$.
The length of the chord of the parabola $x^2 = 4y $ passing through the vertex and having slope $cot \alpha $ is
Let $AB$ be a chord of the parabola $y^{2}=4ax$.If the pole of $AB$ with respect to the parabola be $\left ( 2a,3a \right )$ then the length of $AB$ is
Let the equation of a circle and a parabola be $x^2+y^2-4x-6=0$ and $y^2=9x$ respectively. Then
The condition that the straight line $\displaystyle lx + my + n = 0$ touches the parabola $\displaystyle x^2 = 4ay$ is
The length of the chord of the parabola $y^2 = x$ which is bisected at the point $(2, 1)$ is
If $2$ and $3$ are the length of the segments of any focal chord of a parabola $y^2 = 4ax$, then value of $2a$ is
If the line $y- \sqrt x +3 = 0$ cuts the parabola $y^2 = x + 2$ at $A$ and $B$, and if $P$ $(3,\ 0)$, then $PA.PB$ is equal to
The
eccentricity of the hyperbola whose asymptotes are $3x + 4y = 2{\text{ and }}4x - 3y + 5 = 0$