If \( y=m x+c \) is a tangent to the hyperbola \( x^{2}-3 y^{2}=1 \), then
(a) \( c^{2}=m^{2}-\f...
If \( y=m x+c \) is a tangent to the hyperbola \( x^{2}-3 y^{2}=1 \), then
(a) \( c^{2}=m^{2}-\frac{1}{3} \)
(b) \( c^{2}=m^{2}+1 \)
(c) \( c^{2}m^{2} \)
(d) \( c^{2}m^{2} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-07-03 | If the conics \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab) \) and \( x^{2}-y^{2}=c^{2} \) cu... |
| 2023-07-03 | Asymptotes of the hyperbola \( x y=4 x+3 y \) are
(a) \( x=3, y=4 \)
(b) \( x=4, y=3 \)
(c) \( x... |
| 2023-07-03 | Equation of a rectangular hyperbola whose asymptotes are \( x=3 \) and \( y=5 \) and passing thr... |
| 2023-07-03 | Which of the following equations in parametric form can not represent a hyperbola, where \( t \... |
| 2023-07-03 | The equation of the chord of contact of tangents from \( (2,3) \) to the rectangular hyperbola \... |
| 2023-07-03 | The length of the transverse axis of the rectangular hyperbola \( x y=18 \) is:
(a) 6
(b) 12
(c)... |
| 2023-07-03 | If the chords of contact of tangents from two points \( \left(x_{1}, y_{1}\right) \) and \( \lef... |
| 2023-07-03 | If the distance between two parallel tangents drawn to the hyperbola \( \frac{x^{2}}{9}-\frac{y^... |
| 2023-07-03 | Equation of the chord of hyperbola \( 5 x^{2}-3 y^{2}=45 \), which is bisected at \( (5,-3) \) i... |
| 2023-07-03 | If the eccentricity of the hyperbola \( x^{2}-y^{2} \sec ^{2} \alpha=5 \) is \( \sqrt{3} \) time... |
| 2023-07-03 | If \( y=m x+c \) is a tangent to the hyperbola \( x^{2}-3 y^{2}=1 \), then
(a) \( c^{2}=m^{2}-\f... |
| 2023-07-03 | A tangent to the ellipse \( x^{2}+4 y^{2}=4 \) meets the ellipse \( x^{2}+ \) \( 2 y^{2}=6 \) at... |
| 2023-07-03 | The parametric equations for the conic section \( x^{2}-8 x-4 y^{2} \) \( -16 y-4=0 \) are:
(a) ... |
| 2023-07-03 | If the foci of \( \frac{x^{2}}{\mathrm{a}^{2}}-\frac{\mathrm{y}^{2}}{\mathrm{~b}^{2}}=1 \) coinc... |
| 2023-07-03 | The equation \( \frac{x^{2}}{10-a}+\frac{y^{2}}{4-a}=1 \) represents an hyperbola \( (a0) \) if
... |
| 2023-07-03 | The equation \( \frac{x^{2}}{1-r}-\frac{y^{2}}{1+r}=1, r1 \) represents
(a) A circle
(b) A parab... |
| 2023-07-03 | The equation \( \frac{x^{2}}{10-a}+\frac{y^{2}}{4-a}=1 \) represents an hyperbola \( (a0) \) if
... |
| 2023-07-03 | The equation \( 16 x^{2}-3 y^{2}-32 x+12 y-44=0 \quad \) represents a hyperbola
(a) The length o... |
| 2023-07-03 | An ellipse has eccentricity \( 1 / 2 \) and one focus at the point \( P\left(\frac{1}{2}, 1\righ... |
| 2023-07-03 | Let \( d \) be the perpendicular distance from the centre of the ellipse \( x^{2} / a^{2}+y^{2} ... |
| 2023-07-03 | Let the common tangents to the curves \( 4\left(x^{2}+y^{2}\right)=9 \) and \( y^{2}=4 x \) inte... |
0