Q.11413·Miscellaneous·2014·EasyIf y = x ln x + xe^x, then what is the value of dy/dx at x = 1 ?View question
Q.11414·Miscellaneous·2014·EasyConsider the curve x = a(cos θ + θ sin θ) and y = a(sin θ - θ cos θ). What is dy/dx equal to ?View question
Q.11415·Miscellaneous·2014·EasyConsider the following statements : 1.The function f(x) = [x], where [.] is the greatest integer function defined on R, is continuous at all points except at x = 0. 2.The function f(x) = sin|x| is continuous for all x ∈ R. Which of the above statements is/are correct ?View question
Q.11416·Miscellaneous·2014·EasyConsider the function f(x) = { (tan kx)/x , x < 0 3x + 2k² , x ≥ 0 What is the non-zero value of k for which the function is continuous at x = 0 ?View question
Q.11417·Miscellaneous·2014·EasyThe line 2y = 3x + 12 cuts the parabola 4y = 3x². What is the area enclosed by the parabola, the line and the y-axis in the first quadrant ?View question
Q.11418·Miscellaneous·2014·EasyThe line 2y = 3x + 12 cuts the parabola 4y = 3x². What is the area enclosed by the parabola and the line ?View question
Q.11419·Miscellaneous·2014·EasyThe line 2y = 3x + 12 cuts the parabola 4y = 3x². Where does the line cut the parabola ?View question
Q.11420·Miscellaneous·2014·EasyIf sin A sin(60° - A) sin(60° + A) = k sin 3A, then what is k equal to?View question
Q.11421·Miscellaneous·2014·EasyConsider the function f(x) = { x² - 5, x ≤ 3 √(x + 13), x > 3 What is the differential coefficient of f(x) at x = 12 ?View question
Q.11422·Miscellaneous·2014·EasyConsider the function f(x) = { x² - 5, x ≤ 3 √(x + 13), x > 3 Consider the following statements : 1.The function is discontinuous at x = 3. 2.The function is not differentiable at x = 0. Which of the above statements is/are correct ?View question
Q.11423·Miscellaneous·2014·EasyWhich of the following statements is/are correct about the working of the Permanent Settlement in Bengal? 1. The traditional Zamindars lost their lands. 2. The reason for the Zamindars’ inability to pay up land revenues was that the Ryots defaulted on payment of revenue. 3. A new group of farmers—the Jotedars—became influential. 4. The Collector replaced the Zamindars as the alternative focus of authority. Select the correct answer using the code given below.View question
Q.11424·Miscellaneous·2014·EasyThe President of India can issue proclamation of EmergencyView question
Q.11425·Miscellaneous·2014·EasyJoint sittings of the two Houses of Indian Parliament are held toView question
Q.11426·Miscellaneous·2014·EasyWhich of the following is/are not related to fundamental duties? 1. To cherish and follow the noble ideals which inspired our national struggle for freedom 2. To value and preserve the rich heritage of our composite culture 3. To promote the educational and economic interests of the weaker sections of the people, especially the Scheduled Castes and Scheduled Tribes 4. To protect all monuments of historic interest and national importance Select the correct answer using the code given below.View question
Q.11427·Miscellaneous·2014·EasyThe Bolshevik Revolution started in Russia during the reign ofView question
Q.11428·Miscellaneous·2014·EasyWhich of the following American colonies did not attend the first Continental Congress held in Philadelphia?View question
Q.11429·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.11430·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