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1.
The angle between the curve y² = x and x² =y at (1, 1) is
2.
If the curves ay + x² = 7 and 
= y cut orthogonally at (1,1), then the value of a is
3.
The tangent to the curve y = e2x at the point (0, 1) meets the x-axis at
4.
The line y = x + 1 is a tangent to the curve y² = 4x at the point
5.
The curves y = ae-x and y = bex are orthogonal if
6.
The point on the curve where tangent to the curve y² = x, makes an angle of 45
7.
The point(s) on the curve y = x², at which y-coordinate is changing six times as fast as x-coordinate is/are
8.
The equation of the normal to the curve y = sin x at (0, 0) is
9.
The side of an equilateral triangle is increasing at the rate of 2 cm/s. The rate at which area increases when the side is 10 is
10.
The total revenue in Rs. received from the sale of x units of an article is given by R(x) = 3x