List of top Mathematics Questions on Tangents and Normals asked in BITSAT

Find the equation of the tangent to the curve $ y = x^3 - 3x + 1 $ at the point where $ x = 2 $.
What is the x-coordinate of the point on the curve f(x)=√(x)(7x-6), where the tangent is parallel to x-axis?
Tangents are drawn from the origin to the curve y=cos x. Their points of contact lie on
The slope of the tangent to the curve y=eˣcos x is minimum at x=α,0≤α\le2π. The value of α is
The line which is parallel to the X-axis and crosses the curve y=√(x) at an angle 45^∘, is
What is the x-coordinate of the point on the curve f(x)=√(x)(7x-6), where the tangent is parallel to the x-axis?
Tangents are drawn from the origin to the curve \(y=\cos x\). Their points of contact lie on
The slope of the tangent to the curve \(y=e^x\cos x\) is minimum at \(x=\alpha,\;0\le\alpha\le2\pi\). Then the value of \(\alpha\) is
The line which is parallel to X-axis and crosses the curve \(y=\sqrt{x}\) at an angle \(45^\circ\) is
The equation of all lines having slope 2 which are tangent to the curve \( y = \frac{1}{x - 3} \), is
If the normal to the curve \( y = f(x) \) at the point \( (3, 4) \) makes an angle \( 3\pi/4 \) with the positive x-axis, then \( f'(3) \) is:
The curve y-eˣ+x=0 has a vertical tangent at:
The slope of the tangent to the hyperbola 2x²-3y²=6 at (3,2) is