Tag: conic section
Questions Related to conic section
The length of the chord of the parabola $y^2 = 4x$ which passes through the vertex and makes $30^o$ angle with x-axis is
If a$\ne $b then the length of common chord of the circles ${\left( {x - a} \right)^2} + {\left( {y - b} \right)^2} = {c^2}$ and ${\left( {x - {b^{}}} \right)^2} + {\left( {y - a} \right)^2} = c^2$ is
Length of chord of parabola ${y}^{2}=4ax$ whose equation is $y-\sqrt {2}x+4\sqrt {2}a=0$
If a$\ne $b then the length of common chord of the circles ${\left( {x - a} \right)^2} + {\left( {y - b} \right)^2} = {c^2}$ and ${\left( {x - {b^{}}} \right)^2} + {\left( {y - a} \right)^2} = c^2$ is
The length of the chord $y = x - 2$ intercepted by the parabola ${ y }^{ 2 }=4(x-1)$ is
The length of normal chord to the parabola $y^{2} = 4x$ which subtends a right angle at the vertex is
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