Prove that the equation of the parabola whose vertex and focus are on the \( X \)-axis at a dist...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=v4b7qb0qCCg



Duration: 1:55
8 views
0


Prove that the equation of the parabola whose vertex and focus are on the \( X \)-axis at a distance \( a \) and \( a^{\prime} \) from the origin respectively is \( y^{2}=4\left(a^{\prime}-a\right)(x-a) \).
P
W
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-12-02A common tangent is drawn to the circle \( x^{2}+y^{2}=a^{2} \) and the parabola \( y^{2}=4 b x ...
2022-12-02Find the equation of the normal to the parabola \( y^{2}=4 x \) which is (a) parallel to the lin...
2022-12-02The common tangent to the parabola \( y^{2}=4 a x \) and \( x^{2}=4 a y \) is (a) \( x+y+a=0 \) ...
2022-12-02The set of points on the axis of the parabola \( y^{2}-4 x-2 y+5=0 \) from which all the three n...
2022-12-02The circle \( x^{2}+y^{2}+4 \lambda x=0 \) which \( \lambda \in R \) touches the parabola \( y^{...
2022-12-02The equation \( a x^{2}+4 x y+y^{2}+a x+3 y+2=0 \) represents a parabola, then find the value of...
2022-12-02Find the equation of the parabola whose axis is parallel to \( X \)-axis and which passes throug...
2022-12-02Find the equation of the parabola whose focus is \( (5,3) \) and directrix is the line \( 3 x-4 ...
2022-12-02If \( 2 x+y+\lambda=0 \) is a normal to the parabola \( y^{2}=-8 x \), then the value of \( \lam...
2022-12-02The equation of the latusrectum of the parabola \( x^{2}+4 x+2 y=0 \) is (a) \( 3 y-2=0 \) (b) \...
2022-12-02Prove that the equation of the parabola whose vertex and focus are on the \( X \)-axis at a dist...
2022-12-02The equation of the parabola with the focus \( (3,0) \) and directrix \( x+3=0 \) is (a) \( y^{2...
2022-12-02Find the name of the conic represented by \( \sqrt{\left(\frac{x}{a}\right)}+\sqrt{\left(\frac{y...
2022-12-02Determine the name of the curve described parametrically by the equations \[ x=t^{2}+t+1, y=t^{2...
2022-12-02The length of the latusrectum of the parabola whose focus is \( (3,3) \) and directrix is \( 3 x...
2022-12-02Equation of the parabola whose axis is parallel to \( Y \)-axis and which passes through the poi...
2022-12-02The focus of the parabola \( x^{2}-8 x+2 y+7=0 \) is (a) \( \left(0,-\frac{1}{2}\right) \) (b) \...
2022-12-02The directrix of the parabola \( x^{2}-4 x-8 y+12=0 \) is (a) \( y=0 \) (b) \( x=1 \) P (c) \( y...
2022-12-02Let \( R S \) be the diameter of the circle \( x^{2}+y^{2}=1 \), where \( S \) is the point \( (...
2022-12-02If the vertex and focus of a parabola are \( (3,3) \) and \( (-3,3) \) respectively , then its e...
2022-12-02The vertex of the parabola \( y^{2}+6 x-2 y+13=0 \) is (a) \( (-2,1) \) (b) \( (2,-1) \) (c) \( ...



Tags:
pw