Q.13807·Miscellaneous·2012·EasyConsider the following statements : 1.If y = ln(sec x + tan x), then dy/dx = sec x. 2.If y = ln(cosec x - cot x), then dy/dx = cosec x. Which of the above is/are correct ?View question
Q.13809·Miscellaneous·2012·EasyThe radius of a circle is uniformly increasing at the rate of 3 cm/s. What is the rate of increase in area, when the radius is 10 cm ?View question
Q.13810·Miscellaneous·2012·EasyIf x^m + y^m = 1 such that dy/dx = -x/y, then what should be the value of m ?View question
Q.13811·Miscellaneous·2012·EasyConsider the following : 1.lim x→0 (1/x) exists. 2.lim x→0 e^(1/x) does not exist. Which of the above is/are correct ?View question
Q.13812·Miscellaneous·2012·EasyWhat is the equation to the straight line passing through (a, b, c) and parallel to z-axis ?View question
Q.13813·Miscellaneous·2012·EasyWhat are the direction ratios of the line of intersection of the planes x = 3z + 4 and y = 2z - 3 ?View question
Q.13814·Miscellaneous·2012·EasyWhat is the equation to the plane through (1, 2, 3) parallel to 3x + 4y - 5z = 0 ?View question
Q.13815·Miscellaneous·2012·EasyWhat is the angle between the lines (x-2)/1 = (y+1)/-2 = (z+2)/1 and (x-1)/1 = (2y+3)/3 = (z+5)/2 ?View question
Q.13816·Miscellaneous·2012·EasyWhat are the direction cosines of a line which is equally inclined to the positive directions of the axes ?View question
Q.13817·Miscellaneous·2012·EasyWhat is the distance of the point (1,2,0) from yz-plane is :View question
Q.13818·Miscellaneous·2012·EasyThe equation of a straight line which makes an angle 45° with the x-axis with y-intercept 101 units is :View question
Q.13819·Miscellaneous·2012·EasyThe eccentricity e of an ellipse satisfies the condition :View question
Q.13820·Miscellaneous·2012·EasyFrom the point (4,3) a perpendicular is dropped on the x-axis as well as on the y-axis. If the lengths of perpendiculars are p, q respectively, then which one of the following is correct ?View question
Q.13821·Miscellaneous·2012·EasyIf a.b = 0 and a×b = 0 then which one of the following is correct ?View question
Q.13822·Miscellaneous·2012·EasyLet p, q, r, s be the distances from origin of the points (2,6), (3,4), (4,5) and (-2,5) respectively. Which one of the following is a whole number ?View question
Q.13823·Miscellaneous·2012·EasyWhat is the perpendicular distance between the parallel lines 3x + 4y = 9 and 9x + 12y + 28 = 0 ?View question