Q.11395·Miscellaneous·2014·EasyGiven that 16 sin⁵x = p sin 5x + q sin 3x + r sin x. What is the value of p?View question
Q.11396·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.11397·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.11398·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.11399·Miscellaneous·2014·EasyWhich one of the following is correct in respect of the equations (x - 1)/2 = (y - 2)/3 and 2x + 3y = 5?View question
Q.11400·Miscellaneous·2014·EasyConsider a sphere passing through the origin and the points (2, 1, -1), (1, 5, -4), (-2, 4, -6). What is the radius of the sphere?View question
Q.11401·Miscellaneous·2014·EasyConsider a sphere passing through the origin and the points (2, 1, -1), (1, 5, -4), (-2, 4, -6). What is the centre of the sphere?View question
Q.11402·Miscellaneous·2014·EasyConsider the following statements: 1.The sphere passes through the point (0, 4, 0). 2.The point (1, 1, 1) is at a distance of 5 unit from the centre of the sphere. Which of the above statements is/are correct?View question
Q.11403·Miscellaneous·2014·EasyThe line joining the points (2, 1, 3) and (4, -2, 5) cuts the plane 2x + y - z = 3. Where does the line cut the plane?View question
Q.11404·Miscellaneous·2014·EasyThe line joining the points (2, 1, 3) and (4, -2, 5) cuts the plane 2x + y - z = 3. What is the ratio in which the plane divides the line?View question
Q.11405·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.11406·Miscellaneous·2014·EasyConsider the plane passing through the points A(2, 2, 1), B(3, 4, 2) and C(7, 0, 6). Which one of the following points lies on the plane?View question
Q.11407·Miscellaneous·2014·EasyIf cot A = 2 and cot B = 3, then what is the value of A + B?View question
Q.11408·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.11409·Miscellaneous·2014·EasyWhich of the following sequences is correct for rainfall?View question
Q.11410·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.11411·Miscellaneous·2014·EasyConsider the following statements : 1. Mobile Seva, the National Mobile Governance Initiative of Department of Electronics and Information Technology of India, has won the United Nations Public Service Award, 2014. 2. The innovative initiative is aimed at mainstreaming mobile governance in the country. Which of the statements given above is/are correct?View question
Q.11412·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