1.the no of integral solutions of equation 4[Integral 0 to infinity(ln tdt/x2 +t2) –Pi ln2=0,x>0 isA) 0\tB) 1 C) 2 D) 32. If integral 2 to 1 (ax2-5)dx = 0 and 5 + integral 1 to 2 (bx+c) dx = 0 thenA)\tax2-bx+c = 0 has atleast one root in (1,2)B) ax2-bx+c = 0 has atleast one root in (-2 ,-1)C) ax2 + bx+c = 0 has atleast one root in (-2,-1)D)none of these3. A block of mass m slides down an inclined wedge of same mass m shown in the figure.Friction is absent every where. Magnitude of acceleration of centre of mass of the block and the wedge isA)\t0B)\tgsin2(theta)/(1+ sin2(theta))C)\tgcos2(theta)/(1+ sin2(theta))D)\tgcos(theta)/(1+ cos(theta))Please send detailed solutions.

jee king king , 14 Years ago

Grade 12