SECTION ‘A’ (MULTIPLE QUESTIONS ANSWER)
SECTION ‘B’ (SHORT QUESTIONS ANSWER)
(iv) Find the distance between the parallel lines 3x + 4y + 10 = 0, 6x +8y-9=0.
(v) Find the equation of circle which passes through the origin and cuts off intercepts equal to 3 and 4 from the axes.
CALCULAS
Find the derivative by first principles at any point x in the domain D (f) of the functions f (x) = cotx.
SECTION ‘C’ (DETAILED QUESTIONS ANSWER)
4.a) Show that the lines 4xy + y2 = 0 and x + y = 3 form an equilateral triangle. Also find the area of the tr;angle.
Solution:
Given Lines:
6.a) (ii) Find the area above x-axis under the curve y = 3x4_2x2 and between the ordinates x = 1 and x = 2.
6.b) Find the relative maximum and minimum values of the function f (x) = ex sinx