If the line y = 2x + lambda be a tangent to | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(c) If $y = 2x + \lambda $ is tangent to given hyperabola,

then $\lambda = \pm \sqrt {{a^2}{m^2} - {b^2}} = \pm \sqrt {(100)\,(4) - 144}$

$= \pm

Vedclass · Accepted Answer

$ \pm 16$

Vedclass · Answer

(c) If $y = 2x + \lambda $ is tangent to given hyperabola,

then $\lambda = \pm \sqrt {{a^2}{m^2} - {b^2}} = \pm \sqrt {(100)\,(4) - 144}$

$= \pm \sqrt {256} = \pm 16$.

If the line $y = 2x + \lambda $ be a tangent to the hyperbola $36{x^2} - 25{y^2} = 3600$, then $\lambda = $

Similar Questions

The graph of the conic $ x^2 - (y - 1)^2 = 1$ has one tangent line with positive slope that passes through the origin. the point of tangency being $(a, b). $ Then Eccentricity of the conic is

If the product of the perpendicular distances from any point on the hyperbola $\frac{{{x^2}}}{{{a^2}}}\,\, - \,\,\frac{{{y^2}}}{{{b^2}}}\,\,\, = \,1$ of eccentricity $e =\sqrt 3 \,$ from its asymptotes is equal to $6$, then the length of the transverse axis of the hyperbola is

A tangent to the hyperbola $\frac{{{x^2}}}{4} - \frac{{{y^2}}}{2} = 1$ meets $x-$ axis at $P$ and $y-$ axis at $Q$. Lines $PR$ and $QR$ are drawn such that $OPRQ$ is a rectangle (where $O$ is the origin). Then $R$ lies on

Curve $xy = {c^2}$ is said to be

Find the equation of the hyperbola satisfying the give conditions: Foci $(\pm 5,\,0),$ the transverse axis is of length $8$