Q.9253·Miscellaneous·2016·EasyConsider the curves y = |x − 1| and |x| = 2 What is/are the point(s) of intersection of the curves?View question
Q.9254·Miscellaneous·2016·EasyLet α and β (α < β) be the roots of the equation x² + bx + c = 0, where b > 0 and c < 0. Consider the following : 1. β < −α 2. β < |α| Which of the above is/are correct?View question
Q.9255·Miscellaneous·2016·EasyConsider the curves y = |x − 1| and |x| = 2 What is the area of the region bounded by the curves and x-axis?View question
Q.9256·Miscellaneous·2016·EasyWhich of the following is/are not FDI policy change(s) after 2010? 1. Permission of 100 percent FDI in automotive sector 2. Permitting foreign airlines to make FDI up to 49 percent 3. Permission of up to 51 percent FDI under the government approval route in multi-brand retailing, subject to specified conditions 4. Amendment of policy on FDI in single-brand product retail trading for aligning with global practices Select the correct answer using the code given below:View question
Q.9257·Miscellaneous·2016·EasyConsider the equation x + |y| = 2y What is the derivative of y as a function of x with respect to x for x < 0?View question
Q.9258·Miscellaneous·2016·EasyConsider the equation x + |y| = 2y Which of the following statements are not correct? 1. y as a function of x is not defined for all real x. 2. y as a function of x is not continuous at x = 0. 3. y as a function of x is differentiable for all x. Select the correct answer using the code given below.View question
Q.9259·Miscellaneous·2016·EasyGiven that aₙ = ∫(0 to π) [sin²((n+1)x) / sin 2x] dx Consider the following statements: 1. The sequence {a₂n} is in AP with common difference zero. 2. The sequence {a₂n+1} is in AP with common difference zero. Which of the above statements is/are correct?View question
Q.9260·Miscellaneous·2016·EasyConsider the function f(x) = |x - 1| + x² where x ∈ R. What is the area of the region bounded by x-axis, the curve y = f(x) and the two ordinates x = 1 and x = 3/2?View question
Q.9261·Miscellaneous·2016·EasyConsider the function f(x) = |x - 1| + x² where x ∈ R. What is the area of the region bounded by x-axis, the curve y = f(x) and the two ordinates x = 1/2 and x = 1?View question
Q.9262·Miscellaneous·2016·EasyConsider the lines y = 3x, y = 6x and y = 9 The centroid of the triangle is at which one of the following points?View question
Q.9263·Miscellaneous·2016·EasyConsider the function f(x) = |x - 1| + x² where x ∈ R. Which one of the following statements is correct?View question
Q.9264·Miscellaneous·2016·EasyConsider the function f(x) = |x - 1| + x² where x ∈ R. Which one of the following statements is correct?View question
Q.9265·Miscellaneous·2016·EasyConsider the function f(x) = (x² + (x - 2)²) What is the number of points of local minima of the function f(x)?View question
Q.9266·Miscellaneous·2016·EasyConsider the function f(x) = |x - 1| + x² where x ∈ R. Which one of the following statements is correct?View question
Q.9267·Miscellaneous·2016·EasyConsider the function f(x) = [27(x^(2/3) - x)] / 4 How many solutions does the function f(x) = -1 have?View question
Q.9268·Miscellaneous·2016·EasyConsider the function f(x) = [27(x^(2/3) - x)] / 4 How many solutions does the function f(x) = 1 have?View question
Q.9269·Miscellaneous·2016·EasyConsider the curves f(x) = x|x| - 1 and g(x) = {3x/2, x > 0; 2x, x ≤ 0} What is the area bounded by the curves?View question
Q.9270·Miscellaneous·2016·EasyConsider the curves f(x) = x|x| - 1 and g(x) = {3x/2, x > 0; 2x, x ≤ 0} Where do the curves intersect?View question