Find the angle between two curves y^2=4 a x and x^2=4 b y. - Vidyadip

Question

Find the angle between two curves $y^2=4 a x$ and $x^2=4 b y$.

✓

Answer

SELF

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "4 Marks" from Model Paper 2→Model Paper 2 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The slope of the tangent at each point of a curve is equal to the sum of the coordinates of the point. Find the curve that passes through the origin.

$\text{If x = }\sqrt{\text{a}^{\sin^{-1}t},}\text{ y}=\sqrt{\text{a}^{\text{cos}^{-1}}},\text{ show that }\frac{\text{dy}}{\text{dy}}=-\frac{\text{y}}{\text{x}}.$

If $\text{f(x)}=\frac{\tan\big(\frac{\pi}{4}-\text{x}\big)}{\cot2\text{x}}$ for $\text{x}\neq\frac{\pi}{4},$ find the value which can be assigned to f(x) at $\text{x}=\frac{\pi}{4}$ so that the function f(x) becomes continuous every where in $\Big[0,\frac{\pi}{2}\Big]$

Evaluate the following integrals:
$\int\frac{\text{x}^2-3\text{x}+1}{\text{x}^4+\text{x}^2+1}\ \text{dx}$

Solve the following differential equation
$\sin\Big(\frac{\text{dy}}{\text{dx}}\Big)=\text{K};\text{y}(0)=1$

Solve the following systems of homogeneous linear equations by matrix method:

3x + 2y - z = 0

x + 4y + 3z = 0

By using properties of determinants, show that:
$\begin{vmatrix}a^2+1&ab&ac\\ab&b^2+1&bc\\ca&cb&c^2+1\end{vmatrix}=1+a^2+b^2+c^2$

Differentiate the following functions with respect to x:
$\sin^{-1}\Big(\frac{\text{x}}{\sqrt{\text{x}^2+\text{x}^2}}\Big)$

find the area of the region {(x, y) : y² < 8x, x² + y² < 9}.

Find whether the function is differentiable at x = 1 and x = 2
$\text{f(x)}=\begin{cases}\text{x} & \text{x}\leq1\\2-\text{x} & 1\leq\text{x}\leq2\\-2+3\text{x}&\text{x}>2\end{cases}$