Q.11575·Miscellaneous·2014·EasyWhich one of the following gases is placed second in respect of abundance in the Earth’s atmosphere ?View question
Q.11576·Miscellaneous·2014·EasyA straight line passes through (1, -2, 3) and is perpendicular to the plane 2x + 3y - z = 7. Where does the line meet the plane?View question
Q.11577·Miscellaneous·2014·EasyA straight line passes through (1, -2, 3) and is perpendicular to the plane 2x + 3y - z = 7. What is the image of the point (1, -2, 3) in the plane?View question
Q.11578·Miscellaneous·2014·EasyThe vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1). What is the cosine of angle ABC?View question
Q.11579·Miscellaneous·2014·EasyThe vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1). NDA Mathematics 2014 (I)View question
Q.11580·Miscellaneous·2014·EasyThe vertices of a triangle ABC are A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1). What is the magnitude of the line joining mid points of the sides AC and BC?View question
Q.11581·Miscellaneous·2014·EasyLet a vector r make angles 60°, 30° with x and y axes respectively. What angle does r make with z-axis?View question
Q.11582·Miscellaneous·2014·EasyLet a vector r make angles 60°, 30° with x and y axes respectively. What are the direction cosines of r?View question
Q.11583·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z > 11) equal to?View question
Q.11584·Miscellaneous·2014·EasyA line passes through the points (6, -7, -1) and (2, -3, 1). What are the direction ratios of the line?View question
Q.11587·Miscellaneous·2014·EasyWhat is the solution of dy/dx + 2y = 1 satisfying y(0) = 0?View question
Q.11588·Miscellaneous·2014·EasyConsider the curve y = e^(2x). What is the slope of the tangent to the curve at (0, 1)?View question
Q.11589·Miscellaneous·2014·EasyConsider the curve y = e^(2x). Where does the tangent to the curve at (0, 1) meet the x-axis?View question
Q.11590·Miscellaneous·2014·EasyConsider an ellipse x²/a² + y²/b² = 1. What is the area included between the ellipse and the greatest rectangle inscribed in the ellipse?View question
Q.11591·Miscellaneous·2014·EasyConsider the integrals I1 = ∫(from π/6 to π/3) [ dx / (1 + √(tan x)) ] and I2 = ∫(from π/6 to π/3) [ √(sin x) dx / ( √(sin x) + √(cos x) ) ] What is I1 - I2 equal to?View question
Q.11592·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = ³√x is continuous at all x except at x = 0. 2.The function f(x) = [x] is continuous at x = 2.99 where [.] is the bracket function. Which of the above statements is/are correct?View question