Mathematics questions
18011 published questions with worked solutions.
- Let y = y(x) be the solution of the differential equation x dy dx + y x = 4x, x (0, ). If y ( 2 ) = 0, then y ( 6 ) is equal to:
- A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and...
- Let the orthocenter and centroid of a triangle be A(–3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle,...
- If the tangent at (1, 7) to the curve x^2 = y - 6 touches the circle x^2 + y^2 + 16x + 12y + c = 0 then the value of c is:
- Tangent and normal are drawn at P(16, 16) on the parabola y^2 = 16x, which intersect the axis of the parabola at A and B,...
- Tangents are drawn to the hyperbola 4x^2 - y^2 = 36 at the points P and Q. If these tangents intersect at the point T(0, 3) then...
- If L_1 is the line of intersection of the planes 2x - 2y + 3z - 2 = 0, x - y + z + 1 = 0 and L_2 is the line of intersection of...
- If _ i=1 ^ 9 (x_i - 5) = 9 and _ i=1 ^ 9 (x_i - 5)^2 = 45, then the standard deviation of the 9 items x_1, x_2, , x_9 is :
- If sum of all the solutions of the equation 8 x ( ( 6 + x ) ( 6 - x ) - 1 2 ) = 1 in [0, ] is k , then k is equal to :Not in JEE Main syllabus
- PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top...
- The Boolean expression (p q) ( p q) is equivalent to :Not in JEE syllabus
- Let A = bmatrix 1 & 0 & 0 1 & 1 & 0 1 & 1 & 1 bmatrix and B = A^ 20 . Then the sum of the elements of the first column of B is ?
- A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes...Not in JEE syllabus
- Let 1 x_1 , 1 x_2 , 1 x_3 , , (x_i 0 for i = 1, 2, , n) be in A.P. such that x_1 = 4 and x_ 21 = 20. If n is the least positive...
- The locus of the point of intersection of the lines, 2 x - y + 4 2 k = 0 and 2 kx + ky - 4 2 = 0 (k is any non-zero real...
- The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4, (repetition of digits is not...
- Let p, q and r be real numbers (p q, r 0), such that the roots of the equation 1 x+p + 1 x+q = 1 r are equal in magnitude but...
- If p ( p q) is false, then the truth values of p and q are respectively -Not in JEE syllabus
- If an angle A of a satisfies 5 A + 3 = 0, then the roots of the quadratic equation, 9x^2 + 27x + 20 = 0 are -
- If x = 2^ cosec ^ -1 t and y = 2^ ^ -1 t (|t| 1), then dy dx is equal to -