Mathematics questions
18011 published questions with worked solutions.
- Let the line L pass through the point (0, 1, 2), intersect the line x-1 2 = y-2 3 = z-3 4 and be parallel to the plane 2x + y –...
- For the system of equations x + y + z = 6, x + 2y + = 10, x + 3y + 5z = , which one of the following is NOT true?
- The sum of the all values of , for which the points whose position vectors are i -2 j +3 k , 2 i -3 j +4 k , ( +1) i +2 k , 9 i...
- A plane P contains the line of intersection of the plane r .( i + j + k )=6 and r .(2 i +3 j +4 k )=-5. If P passes through the...
- Let a be two non-zero real numbers. Then the number of elements in the set X = Z C: Re(az^2+bz) = a and Re(bz^2+az) = b is
- The value of 9°- 27°- 63°+ 81° is __________.
- The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the...
- For , , z C and >1, if -1 is the radius of the circle |z- |^2+|z- |^2=2 , then | - | is equal to __________.
- Let the eccentricity of an ellipse x^2 a^2 + y^2 b^2 =1 is reciprocal to that of the hyperbola 2x^2-2y^2=1. If the ellipse...
- Let a curve y = f(x), x (0, ) pass through the points P (1, 3 2 ) and Q (a, 1 2 ). If the tangent at any point R(b, f(b)) to the...
- If the mean and variance of the frequency distribution x: 2,4,6,8,10,12,14,16 f: 4,4, ,15,8, ,4,5 are 9 and 15.08 respectively,...
- Let f(x) = x (1+x^n)^ 1/n , x R- -1 , n N, n > 2. if f^n(x) = (fofo……. upto n times) (x), then _ n _0^1x^ n-2 (f^n(x))dx is equal...
- The number of points, where the curve y = x^5-20x^3+50x+2 crosses the x-axis, is __________.
- If (20)^ 19 +2(21)(20)^ 18 +3(21)^2(20)^ 17 + +20(21)^ 19 =k(20)^ 19 , then k is equal to __________.
- If the lines x-1 2 = 2-y -3 = z-3 and x-4 5 = y-1 2 = z intersect, then the magnitude of the minimum value of 8 is __________.
- If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides...Not in JEE syllabus
- Let be a complex cube root of unity with 1. A fair die is thrown three times. If r_1, r_2 and r_3 are the numbers obtained on the...
- Let P, Q, R and S be the points on the plane with position vectors -2 i - j, 4 i, 3 i + 3 j and -3 i + 2 j respectively. The...
- The number of 3 3 matrices A whose entries are either 0 or 1 and for which the system A bmatrix x bmatrix = bmatrix 1 0 0 bmatrix...
- The value of _ x 0 1 x^3 _0^x t , n(1+t) t^4+4 ,dt is