If \( a\left(x^{2}+y^{2}+2 y+1\right)=(x-2 y+3)^{2} \) is an ellipse
and \( a \in(b, \infty) \) ....
If \( a\left(x^{2}+y^{2}+2 y+1\right)=(x-2 y+3)^{2} \) is an ellipse
\( \mathrm{P} \)
and \( a \in(b, \infty) \) then the value of ' \( b \) ' is
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-23 | If \( x, y \in R \), satisfies the equation \( \frac{(x-4)^{2}}{4}+\frac{y^{2}}{9}=1 \)
,then th.... |
2024-01-23 | The equation of normal to the hyperbola \( x^{2}-9 y^{2}=7 \) at point \( (4,1) \) is.... |
2024-01-23 | The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half th.... |
2024-01-23 | The equation of tangent to the conic \( x^{2}-y^{2}-8 x+2 y+11=0 \) at \( (2,1) \), is.... |
2024-01-23 | The equation of the chord of the hyperbola
\( 25 x^{2}-16 y^{2}=400 \) which is bisected at the .... |
2024-01-23 | Match the following lists:
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|r|}{ List-I } & \m.... |
2024-01-23 | Match the following lists:
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ List-I } & \m.... |
2024-01-23 | The angle between the asymptotes of the hyperbola
\( \frac{x^{2}}{16}-\frac{y^{2}}{9}=1 \), is.... |
2024-01-23 | If the ellipse \( \frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1 \) and hyperbola
\( \frac{x^{2}}{144}-\.... |
2024-01-23 | The eccentricity of the hyperbola with asymptotes
\( 3 x+4 y=2 \) and \( 4 x-3 y=2 \), is.... |
2024-01-23 | If \( a\left(x^{2}+y^{2}+2 y+1\right)=(x-2 y+3)^{2} \) is an ellipse
and \( a \in(b, \infty) \) .... |
2024-01-23 | The distance between two directrices of a rectangular hyperbola is 10 units. Then the distance b.... |
2024-01-23 | The ellipse is such that it has a the least area but contains
the circle \( (x-1)^{2}+y^{2}=1 \).... |
2024-01-23 | If the midpoint of a chord of the ellipse \( \frac{x^{2}}{16}+\frac{y^{2}}{25}=1 \)
is \( (0,3) .... |
2024-01-23 | The equation of the transverse axis of the hyperbola
\( (x-3)^{2}+(y+1)^{2}=(4 x+3 y)^{2} \) is.... |
2024-01-23 | The eccentricity of the hyperbola
\( \sqrt{(x+4)^{2}+(y+2)^{2}}-\sqrt{(x-4)^{2}+(y-2)^{2}}=8 \),.... |
2024-01-23 | If a normal to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) is \( 4 x-3 y=7 \)
an.... |
2024-01-23 | Square of the radius of director circle of auxiliary
circle of ellipse \( (3 x+4 y-1)^{2}+5(4 x-.... |
2024-01-23 | A curve is represented by \( C=21 x^{2}-6 x y+29 y^{2}+6 x \)
\[
-58 y-151=0 .
\]
The eccentrici.... |
2024-01-23 | The ellipse is such that it has a the least area but contains
the circle \( (x-1)^{2}+y^{2}=1 \).... |
2024-01-23 | A curve is represented by \( C=21 x^{2}-6 x y+29 y^{2}+6 x \)
\( -58 y-151=0 \).
The center of t.... |