Q.10531·Miscellaneous·2015·EasyThe equation of the line joining the origin to the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1 isView question
Q.10532·Miscellaneous·2015·EasyThe projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What is the length of the line segment?View question
Q.10533·Miscellaneous·2015·EasyThe projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What are the direction cosines of the line segment?View question
Q.10534·Miscellaneous·2015·EasyWhat are the direction ratios of the line segment PQ? From the point P(3, -1, 11), a perpendicular is drawn on the line L given by the equation x/2 = (y-2)/3 = (z-3)/4. Let Q be the foot of the perpendicular.View question
Q.10535·Miscellaneous·2015·EasyWhat is the length of the line segment PQ? From the point P(3, -1, 11), a perpendicular is drawn on the line L given by the equation x/2 = (y-2)/3 = (z-3)/4. Let Q be the foot of the perpendicular.View question
Q.10536·Miscellaneous·2015·EasyWhat are the intercepts made by the plane ABC on the axes? A triangular plane ABC with centroid (1, 2, 3) cuts the coordinate axes at A, B, C respectively.View question
Q.10538·Miscellaneous·2015·EasyWhat is the equation of the plane ABC? A triangular plane ABC with centroid (1, 2, 3) cuts the coordinate axes at A, B, C respectively.View question
Q.10539·Miscellaneous·2015·EasyWhat is the length of one of the diagonals of the cuboid? A point P(1, 2, 3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through P and parallel to the coordinate planes.View question
Q.10540·Miscellaneous·2015·EasyWhat is the equation of the plane passing through P(1, 2, 3) and parallel to xy-plane? A point P(1, 2, 3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through P and parallel to the coordinate planes.View question
Q.10541·Miscellaneous·2015·EasyConsider the following statements: 1.y = (e^x + e^(-x))/2 is an increasing function on (0, ∞). 2.y = (e^x − e^(-x))/2 is an increasing function on (−∞, ∞). Which of the above statements is/are correct?View question
Q.10542·Miscellaneous·2015·EasyFor each non-zero real number x, let f(x) = x/|x|. The range of f isView question
Q.10543·Miscellaneous·2015·EasyConsider the following statements: 1.f(x) = [x], where [.] is the greatest integer function, is discontinuous at x = n, where n ∈ Z. 2.f(x) = cot x is discontinuous at x = nπ, where n ∈ Z. Which of the above statements is/are correct?View question
Q.10544·Miscellaneous·2015·EasyThe cleaning action of soap and detergent in water is due to the formation ofView question
Q.10545·Miscellaneous·2015·EasyWhat is the minimum value of f(x)? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈ R.View question
Q.10546·Miscellaneous·2015·EasyAt what value of x does f(x) attain minimum value? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈ R.View question
Q.10547·Miscellaneous·2015·EasyWhich one among the following is used in making gunpowder?View question
Q.10548·Miscellaneous·2015·EasyThe integral ∫ dx / (a cos x + b sin x) is of the form (1/r) ln|tan((x + α)/2)| What is r equal to?View question