The normal at \( \mathrm{t} \) of the rectangular hyperbola \( \mathrm{xy}=16 \) meets the \( \m...
The normal at \( \mathrm{t} \) of the rectangular hyperbola \( \mathrm{xy}=16 \) meets the \( \mathrm{x} \) axis at
(A) \( \left(\frac{4}{t}-4 t^{3}, 0\right) \)
(B) \( \left(0, \frac{4}{t}-4 t^{3}\right) \)
\( \mathrm{P} \)
(C) \( \left(4 t-\frac{4}{t^{3}}, 0\right) \)
(D) \( \left(\frac{4}{t^{3}}-4 t, 0\right) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2022-12-01 | The locus of the middle points of chords of hyperbola \( 3 x^{2}-2 y^{2}+4 x-6 y=0 \) parallel t... |
| 2022-12-01 | The equation of the conic with focus at \( (1,-1) \), directrix along \( x-y+1=0 \) and with ecc... |
| 2022-12-01 | Through the positive vertex of the hyperbola \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}-\frac{\mat... |
| 2022-12-01 | \( e_{1} \) and \( e_{2} \) are the eccentricities of the hyperbolas \( x y=\mathrm{c}^{2} \) an... |
| 2022-12-01 | The value of \( m \) for which \( y=m x+6 \) is tangent to the hyperbola \( \frac{x^{2}}{100}-\f... |
| 2022-12-01 | The condition that the line \( p=x \cos \alpha+y \sin \alpha \) becomes a tangent to \( \frac{x^... |
| 2022-12-01 | If \( y=m x+c \) is a tangent to the hyperbola \( x^{2}-3 y^{2}=1 \), then
(A) \( \mathrm{c}^{2}... |
| 2022-12-01 | If the conics \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab) \) and \( x^{2}-y^{2}=c^{2} \) cu... |
| 2022-12-01 | The equation of the tangent to the hyperbola \( 2 x^{2}-3 y^{2}=6 \) which is parallel to the li... |
| 2022-12-01 | The foci of the ellipse \( \frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1 \) and the hyperbola \( \frac{... |
| 2022-12-01 | The normal at \( \mathrm{t} \) of the rectangular hyperbola \( \mathrm{xy}=16 \) meets the \( \m... |
| 2022-12-01 | The equation given by \( x=\frac{1}{2} a\left(t+\frac{1}{t}\right), y=\frac{1}{2} b\left(t-\frac... |
| 2022-12-01 | Equation of the chord of hyperbola \( 5 x^{2}-3 y^{2}=45 \), which is bisected at \( (5,-3) \) i... |
| 2022-12-01 | If \( x=9 \) is the chord of contact of the hyperbola \( x^{2}-y^{2}=9 \), then the equation of ... |
| 2022-12-01 | If the chords of contact of tangents from two points \( \left(x_{1} y_{1}\right) \) and \( \left... |
| 2022-12-01 | The equation of the chord joining two points \( \left(x_{1}, y_{1}\right) \) and \( \left(x_{2},... |
| 2022-12-01 | The eccentricity of the conic represented by \( x^{2}-y^{2}-4 x+4 y+16=0 \) is
(A) 1
(B) \( \sqr... |
| 2022-12-01 | If \( m \) is a variable, the locus of the point of intersection of the lines \( \frac{x}{3}-\fr... |
| 2022-12-01 | The product of perpendicular drawn from the two foci of the ellipse \( \frac{x^{2}}{a^{2}}+\frac... |
| 2022-12-01 | If the normal at the point \( \mathrm{P}(\theta) \) to the ellipse \( \frac{x^{2}}{14}+\frac{y^{... |
| 2022-12-01 | The ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) and the straight line \( y=m x+c \) ... |
0