Practice questions
88551 published questions with worked solutions.
- The number of chiral centes present in threonine is ________.
- In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two...
- Let 0 be in R. If and are the roots of the equation, x^2-x+2 =0 and and are the roots of the equation, 3x^2-10x+27 =0, then is...
- Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is 1 2 . If P(1, ), > 0 is a point on...
- If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+ z= has infinitely many solutions, then :
- The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the...
- If a and b are real numbers such that (2+ )^4=a+b , where = -1+i 3 2 , then a + b is equal to :
- The solution of the differential equation dy dx - y+3x _e(y+3x) +3=0 is : (where C is a constant of integration.)
- The function f(x)= cases 4 + ^ -1 x, & |x| 1 1 2 (|x|-1), & |x|>1 cases is
- Let a_1, a_2, ….., a_n be a given A.P. whose common difference is an integer and S_n=a_1+a_2+ +a_n. If a_1=1, a_n=300 and 15 n...
- The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to the line x 2 = y 3 = z -6 is :
- The minimum value of 2^ x +2^ x is :
- If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1+x)^ n+5 are in the...
- Contrapositive of the statement : 'If a function f is differentiable at a, then it is also continuous at a', is :Not in JEE syllabus
- Suppose the vectors x_1, x_2 and x_3 are the solutions of the system of linear equations, Ax = b when the vector b on the right...
- The circle passing through the intersection of the circles, x^2+y^2-6x=0 and x^2+y^2-4y=0, having its centre on the line. 2x – 3y...
- The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the image of C...Not in JEE syllabus
- The integral _ /6 ^ /3 x ^23x(2 x 3x+3 x 6x)dx is equal to :
- Let f:(0, ) (0, ) be a differentiable function such that f(1) = e and _ t x t^2f^2(x)-x^2f^2(t) t-x =0. If f(x) = 1, then x is...
- If the variance of the following frequency distribution : Class : 10-20, 20-30, 30-40 Frequency : 2, x, 2 is 50, then x is equal...