Q.10261·Miscellaneous·2015·EasyTo weld metals together, high temperature is required. Such a high temperature is obtained by burning:View question
Q.10262·Miscellaneous·2015·EasyTwo forces, one of 3 newton and another of 4 newton are applied on a standard 1 kg body, placed on a horizontal and frictionless surface, simultaneously along the x-axis and the y-axis, respectively, as shown below: The magnitude of the resultant acceleration is:View question
Q.10263·Miscellaneous·2015·EasyWhich one of the following gases is found in highest quantity in Exosphere?View question
Q.10264·Miscellaneous·2015·EasyConsider the function f(x) = -2x³ - 9x² - 12x + 1 The function f(x) is an increasing function in the intervalView question
Q.10265·Miscellaneous·2015·EasyConsider f′(x) = (x²/2) - kx + 1 such that f(0) = 0 and f(3) = 15 The value of k isView question
Q.10266·Miscellaneous·2015·EasyConsider the function f(x) = (1/x)^(2x²), where x > 0 The maximum value of the function isView question
Q.10267·Miscellaneous·2015·EasyConsider the function f(x) = (1/x)^(2x²), where x > 0 At what value of x does the function attain maximum value ?View question
Q.10268·Miscellaneous·2015·EasyConsider the following statements : Statement 1: The function f : R → R such that f(x) = x³ for all x ∈ R is one-one. Statement 2: f(a) = f(b) ⇒ a = b for all a, b ∈ R if the function f is one-one. Which one of the following is correct in respect of the above statements ?View question
Q.10269·Miscellaneous·2015·EasyConsider the following statements : 1. f(x) = ln x is an increasing function on (0, ∞). 2. f(x) = e^x - x (ln x) is an increasing function on (1, ∞). Which of the above statements is/are correct ?View question
Q.10270·Miscellaneous·2015·EasyIf x^a y^b = (x - y)^(a + b), then the value of (dy/dx)(y/x) is equal toView question
Q.10271·Miscellaneous·2015·EasyThe derivative of ln(x + sin x) with respect to (x + cos x) isView question
Q.10272·Miscellaneous·2015·EasyConsider the following statements : 1. The function f(x) = x² + 2cos x is increasing in the interval (0, π) 2. The function f(x) = ln(√(1 + x²) - x) is decreasing in the interval (-∞, ∞) Which of the above statements is/are correct ?View question
Q.10273·Miscellaneous·2015·EasyConsider the following functions : 1. f(x) = { 1/x , if x ≠ 0 ; 0 , if x = 0 } 2. f(x) = { 2x + 5 , if x > 0 ; x² + 2x + 5 , if x ≤ 0 } Which of the above functions is/are derivable at x = 0 ?View question
Q.10274·Miscellaneous·2015·EasyConsider the function f(x) = { ax – 2 , –2 < x < –1 –1 , –1 ≤ x ≤ 1 a + 2(x – 1)² , 1 < x < 2 } What is the value of a for which f(x) is continuous at x = –1 and x = 1?View question
Q.10275·Miscellaneous·2015·EasyIf b and c are the position vectors of the points B and C respectively, then the position vector of the point D such that BD = 4BC isView question
Q.10276·Miscellaneous·2015·EasyThe area of the square, one of whose diagonals is 3i + 4j isView question
Q.10277·Miscellaneous·2015·EasyThe lengths of the intercepts on the co-ordinate axes made by the plane 5x + 2y + z – 13 = 0 areView question
Q.10278·Miscellaneous·2015·EasyWhat are the co-ordinates of the foot of the perpendicular drawn from the point (3, 5, 4) on the plane z = 0 ?View question