JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Analyzing +4 | -1

The two tangents to the curve

a{x^2} + 2hxy + b{y^2} = 1,\;a > 0

at the points where it crosses

x

-axis, are

View answer and explanation

Correct option: A

Parallel

Option B (

a \in ( - \sqrt 6 ,\\;\sqrt 6 )

) is correct because it ensures that the function is decreasing for all x, which requires the derivative to be negative.

More Questions from TANGENTS & NORMALS

Practice All Chapter MCQs →

a

y=x^3-a x

x^2 y=1-y

x y=1-y

C

y^3-3 x y+2=0

H

\mathrm{C}

x

V

C

y

y-e^{x y}+x=0

y = f\left( x \right)

x

x = a\left( {\theta - \sin \theta } \right),\;y = a\left( {1 + \cos \theta } \right)

\theta = \left( {2k + 1} \right)\pi ,\;k \in Z