Q.9019·Miscellaneous·2016·EasyConsider the following statements about the Constitution of India: 1. A Member of Parliament enjoys freedom of speech in the Parliament as a Parliamentary Privilege protected by the Constitution of India. 2. The Constitution has vested the power to amend the Constitution in the Parliament. Which of the statements given above is/are correct?View question
Q.9020·Miscellaneous·2016·EasyWhich one of the following statements about the Union Executive in India is correct?View question
Q.9021·Miscellaneous·2016·EasyWhich one of the following statements about Money Bill is correct?View question
Q.9022·Miscellaneous·2016·EasyWhich one of the following powers of the Prime Minister of India is codified in the Constitution of India itself?View question
Q.9023·Miscellaneous·2016·EasyThe cylindrical stone seals were used in which civilization?View question
Q.9024·Miscellaneous·2016·EasyLet f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued functions over R. Which of the following statements is correct ?View question
Q.9025·Miscellaneous·2016·EasyWhich of the following statements with regards to the Civil Disobedience movement is/are correct? 1. The movement received massive response from business groups and peasantry 2. The movement coincided with large scale labour upsurge in Maharashtra 3. The movement was marked by the mass participation of lawyers and students Select the correct answer using the code given below:View question
Q.9026·Miscellaneous·2016·EasyLet Q be the image of the point P(–2, 1, –5) in the plane 3x – 2y + 2z + 1 = 0. Consider the following : 1. The coordinates of Q are (4, –3, –1). 2.PQ is of length more than 8 units. 3.The point (1, –1, –3) is the mid-point of the line segment PQ and lies on the given plane. Which of the above statements are correct ?View question
Q.9027·Miscellaneous·2016·EasyA line L passes through the point P(5, –6, 7) and is parallel to the planes x + y + z = 1 and 2x – y – 2z = 3. What are the direction ratios of the line of intersection of the given planes ?View question
Q.9028·Miscellaneous·2016·EasyLet Q be the image of the point P(–2, 1, –5) in the plane 3x – 2y + 2z + 1 = 0. Consider the following : 1.The direction ratios of the line segment PQ are <3, –2, 2>. 2.The sum of the squares of direction cosines of the line segment PQ is unity. Which of the above statements is/are correct ?View question
Q.9029·Miscellaneous·2016·EasyA line L passes through the point P(5, –6, 7) and is parallel to the planes x + y + z = 1 and 2x – y – 2z = 3. What is the equation of the line L ?View question
Q.9030·Miscellaneous·2016·EasyIn a right-angled triangle ABC, if the hypotenuse AB = p, then what is AB . AC + BC . BA + CA . CB equal to ?View question
Q.9031·Miscellaneous·2016·Easyf(x) = { 3x² + 12x – 1, –1 ≤ x ≤ 2 37 – x, 2 < x ≤ 3 } Which of the following statements is/are correct ? 1. f(x) is increasing in the interval [–1, 2]. 2. f(x) is decreasing in the interval (2, 3]. Select the correct answer using the code given below :View question
Q.9032·Miscellaneous·2016·Easyf(x) = { 3x² + 12x – 1, –1 ≤ x ≤ 2 37 – x, 2 < x ≤ 3 } Which of the following statements are correct ? 1. f(x) is continuous at x = 2. 2. f(x) attains greatest value at x = 2. 3. f(x) is differentiable at x = 2. Select the correct answer using the code given below :View question
Q.9033·Miscellaneous·2016·EasyLet f(x) = |x| – [x – 1]². What is f(x) equal to when x > 1 ?View question
Q.9034·Miscellaneous·2016·EasyLet f(x) = |x| – [x – 1]². What is f(x) equal to when 0 < x < 1 ?View question
Q.9035·Miscellaneous·2016·EasyLet f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued functions over R. Which one of the following statements is correct ?View question
Q.9036·Miscellaneous·2016·EasyLet f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued functions over R. Which of the following statements are correct ? 1. (fog)(x) = f(g(x)). 2.(gof)(x) = g(f(x)). 3.(fog)(x) = g(f(x)) only when x = 0. 4.(fog)(x) can take only three values. Select the correct answer using the code given below :View question