Mathematics questions
18011 published questions with worked solutions.
- The proposition p (p q) is equivalent toNot in JEE syllabus
- The area (in sq. units) of the region (x,y): 0 y x^2+1, 0 y x+1, 1 2 x 2 is
- If the number of integral terms in the expansion of (3^ 1/2 +5^ 1/8 )^n is exactly 33, then the least value of n is-
- 2 - ( ^ -1 4 5 + ^ -1 5 13 + ^ -1 16 65 ) is equal to-
- The lines r =( i - j )+l(2 i + k ) and r =(2 i - j )+m( i + j - k )
- _ - ^ | -|x| |dx is equal to-
- Consider the two sets : A= m R: both the roots of x^2-(m+1)x+m+4=0 are real and B=[-3,5). Which of the following is not true ?
- If and are the roots of the equation x^2+px+2=0 and 1 and 1 are the roots of the equation 2x^2+2qx+1=0, then ( - 1 ) ( - 1 ) ( +...
- Let P be a point on the parabola, y^2=12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line...
- If = vmatrix x-2&2x-3&3x-4 2x-3&3x-4&4x-5 3x-5&5x-8&10x-17 vmatrix =Ax^3+Bx^2+Cx+D, then B + C is equal to-
- If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common...
- A dice is thrown two times and the sum of the scores appearing on the dice is observed to be a multiple of 4. Then the...
- The foot of the perpendicular drawn from the point (4, 2, 3) to the line joining the points (1, –2, 3) and (1, 1, 0) lies on the...
- Let [t] denote the greatest integer ≤ t. If for some R- 0,1 , _ x 0 | 1-x+|x| -x+[x] |=L, then L is equal to-
- The function, f(x)=(3x-7)x^ 2/3 , x R, is increasing for all x lying in
- The solution curve of differential equation, (1+e^ -x )(1+y^2) dy dx =y^2, which passes through the point (0, 1) is-
- A hyperbola having the transverse axis of length 2 has the same foci as that of the ellipse 3x^2+4y^2=12, then this hyperbola...
- For the frequency distribution : Variate (x) : x_1 x_2 x_3 .... x_ 15 Frequency (f) : f_1 f_2 f_3 .... f_ 15 where 0 < x_1 < x_2...
- The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x = 3...
- If _ x 0 1 x^8 (1- x^2 2 - x^2 4 + x^2 2 x^2 4 ) =2^ -k , then the value of k is __________ .