A circle of radius 2 units passes through the vertex and the focus of the parabola \( y^{2}=2 x ...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=2aDnV7ySAlY



Duration: 10:39
6 views
0


A circle of radius 2 units passes through the vertex and the focus of the parabola \( y^{2}=2 x \) and touches the parabola \( y=\left(x-\frac{1}{4}\right)^{2}+\alpha \), where \( \alpha0 \). Then \( (4 \alpha-8)^{2} \) is equal to
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-08Match the columns: (a) \( \mathrm{A} \rightarrow \mathrm{r} ; \mathrm{B} \rightarrow \mathrm{p} ...
2023-07-08Le \( m_{1}, m_{2}, m_{3}\left(m_{1}m_{2}m_{3}\right) \) be the slopes of the distinct normal to...
2023-07-08\( A B \) and \( C D \) are two equal and parallel chords of the ellipse \( \frac{x^{2}}{a^{2}}+...
2023-07-08If one of the member of the orthogonal trajectory of \( y^{2}=k x \) where \( k \) is a paramete...
2023-07-08The locus of feet of perpendicular from either foci of the ellipse \( (x-y+1)^{2}+(2 x+2 y-6)^{2...
2023-07-08For a given parabola \( y^{2}=4 a x \) two variable chords \( P Q \) and \( R S \) at right angl...
2023-07-08Through the vertex \( O \) of parabola \( y^{2}=4 x \), chords \( O P \) and \( O Q \) are drawn...
2023-07-08Three normals to \( y^{2}=4 x \) pass through the point \( (15,12) \). Show that one of the norm...
2023-07-08The tangent and normal at the point \( P\left(a t^{2}, 2 a t\right) \) to the parabola \( y^{2}=...
2023-07-08Comprehension Let \( M=\left\{(x, y) R \times R: x^{2}+\right. \) \( \left.y^{2} \leq r^{2}\righ...
2023-07-08A circle of radius 2 units passes through the vertex and the focus of the parabola \( y^{2}=2 x ...
2023-07-08Let \( S=\left\{(x \cdot y): x^{2}+y^{2}-6 x-8 y+21 \leq 0\right\} \) \begin{tabular}{|l|l|l|l|}...
2023-07-08The points on the axis of the parabola \( x^{2}+2 x+4 y+13= \) 0 from the where three distinct n...
2023-07-08Let \( K \) denotes the square of the diameter of the circle whose diameter is the common chord ...
2023-07-08Comprehension Let \( M=\left\{(x, y) R \times R: x^{2}+y^{2} \leq r^{2}\right\} \), where \( r0 ...
2023-07-08Consider three circles: \[ \begin{array}{l} C_{1}: x^{2}+y^{2}=r^{2} \\ C_{2}:(x-1)^{2}+(y-1)^{2...
2023-07-08If at \( x=1, y=2 x \) is tangent to the parabola \( y=a x^{2}+b x+c \), then respective values ...
2023-07-08Comprehension \( P \) is variable point on the line \( L=0 \). Tangents are drawn to the circle ...
2023-07-08Find the intervals of the values of a for which the line \( y+x=0 \) bisects two chords drawn fr...
2023-07-08Let \( A \equiv(0,0), B \equiv(4,0) \) and on segment \( A B \) is given a point \( M \). On the...
2023-07-08In the given figure, the circle \( x^{2}+y^{2}=25 \) intersects \( x \)-axis at points \( A \) a...