IIT-JEE 1978Question 26
Express $\dfrac{1}{1-\cos\theta+2i\sin\theta}$ in the form $x+iy$.
Complex Numbers
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JEE Mathematics / Practice
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IIT-JEE 1982Question 27
$A$ is a point on the parabola $y^{2}=4ax$. The normal at $A$ cuts the parabola again at point $B$. If $AB$ subtends a right angle at the vertex of the parabola, find the slope of $AB$.
Parabola
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IIT-JEE 1983Question 28
The vertices of a triangle are $\left[at_1t_2,\ a(t_1+t_2)\right]$, $\left[at_2t_3,\ a(t_2+t_3)\right]$, $\left[at_3t_1,\ a(t_3+t_1)\right]$. Find the orthocentre of the triangle.
Parabola
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IIT-JEE 1978Question 29
Find the derivative of $\sin\left(x^{2}+1\right)$ with respect to $x$ from first principle.
Differentiation and its Application
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IIT-JEE 1980Question 30
Given $y=\dfrac{5x}{3\sqrt{(1-x)^{2}}}+\cos^{2}(2x+1)$; find $\dfrac{dy}{dx}$.
Differentiation and its Application
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