**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**