Q.11395·Miscellaneous·2014·EasyA(3, 4) and B(6, -2) are two points and P is a point such that PA = PB. If the area of triangle PAB is 10 square unit, what are the coordinates of P?View question
Q.11396·Miscellaneous·2014·EasyConsider the circles x² + y² + 2ax + c = 0 and x² + y² + 2by + c = 0. The two circles touch each other ifView question
Q.11397·Miscellaneous·2014·EasyConsider the circles x² + y² + 2ax + c = 0 and x² + y² + 2by + c = 0. What is the distance between the centres of the two circles?View question
Q.11398·Miscellaneous·2014·EasyConsider the plane passing through the points A(2, 2, 1), B(3, 4, 2) and C(7, 0, 6). What are the direction ratios of the normal to the plane?View question
Q.11399·Miscellaneous·2014·EasyIf cot A = 2 and cot B = 3, then what is the value of A + B?View question
Q.11400·Miscellaneous·2014·EasyA lamp post stands on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is 30°. What is the height of the lamp post?View question
Q.11401·Miscellaneous·2014·EasyConsider the following statements about Prithvi–II Missile : 1. It is a nuclear-capable ballistic missile. 2. It has a maximum range of 100 km. 3. It is India’s first native made ballistic missile. Which of the statements given above is/are correct?View question
Q.11402·Miscellaneous·2014·EasyWhich of the following sequences is correct for rainfall?View question
Q.11403·Miscellaneous·2014·EasyIf (sin(x + y))/(sin(x - y)) = (a + b)/(a - b), then what is (tan x)/(tan y) equal to?View question
Q.11404·Miscellaneous·2014·EasyIn a triangle ABC, sin A - cos B = cos C, then what is B equal to?View question
Q.11405·Miscellaneous·2014·EasyWhat is (cos 7x - cos 3x)/(sin 7x - 2 sin 5x + sin 3x) equal to?View question
Q.11406·Miscellaneous·2014·EasyLet f(x) = ax² + bx + c such that f(1) = f(-1) and a, b, c are in Arithmetic Progression. f(a), f(b), f(c) are inView question
Q.11407·Miscellaneous·2014·EasyIf sin A sin(60° - A) sin(60° + A) = k sin 3A, then what is k equal to?View question
Q.11408·Miscellaneous·2014·EasyGiven that 16 sin⁵x = p sin 5x + q sin 3x + r sin x. What is the value of p?View question
Q.11409·Miscellaneous·2014·EasyConsider the function f(x) = (x – 1)/(x + 1). What is f(f(x)) equal to ?View question
Q.11410·Miscellaneous·2014·EasyConsider the expansion (x² + 1/x)¹⁵. What is the independent term in the given expansion ?View question
Q.11411·Miscellaneous·2014·EasyConsider the function f(x) = (x – 1)/(x + 1). What is f(2x) equal to ?View question