Mathematics questions
18011 published questions with worked solutions.
- If area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x^2-y^2+4y-4=0 is A, then the value...
- The sides of a triangle have the combined equation x^2-3y^2-2xy+8y-4=0. The third side, which is variable always passes through...
- The distance between the circumcentre and orthocentre of the triangle whose vertices are (0,0), (6,8) and (-4,3) is L, then the...Not in JEE syllabus
- The area of the triangular region in the first quadrant bounded on the left by the y-axis, bounded above by the line 7x+4y=168...
- If the area of triangle formed by the points (2a,b), (a+b,2b+a) and (2b,2a) is 2 sq. units, then the area of the triangle whose...
- A man starts from the point P(-3,4) and reaches point Q(0,1) touching x-axis at R( ,0) such that PR+RQ is minimum, then 5| |=
- The equation(s) of the bisector(s) of that angle between the lines x+2y-11=0, 3x-6y-5=0 which contains the point (1,-3) is
- The ends of the base of an isosceles triangle are at (2a,0) and (0,a). The equation of one side is x=2a. The equation of the...
- Locus of the centroid of triangle whose vertices are (a t,a t), (b t,-b t) and (1,0), where t is a parameter, is
- If one of the diagonals of a square is along the line x=2y and one of its vertices is (3,0), then its sides through this vertex...
- Two sides of an isosceles triangle are given by the equation 7x-y+3=0 and x+y-3=0. If its third side passes through the point...
- The equation of the line passing through the intersection of x- 3y+ 3-1=0 and x+y-2=0 and making an angle of 15^ with the first...
- In a rhombus ABCD the diagonals AC and BD intersect at the point (3,4). If the point A is (1,2) the diagonal BD has the equation
- P(2,1), Q(4,-1), R(3,2) are the vertices of a triangle and if through P and R lines parallel to opposite sides are drawn to...
- The incentre of the triangle formed by the lines x=0, y=0 and 3x+4y=12 is at
- The image of the point (-1,3) by the line x-y=0 is
- The locus of the point of intersection of lines x +y =a and x -y =b ( is a variable) is
- A point moves in the xy-plane such that the sum of its distance from two mutually perpendicular lines is always equal to 3. The...
- The ratio in which the line 3x-2y+5=0 divides the join of (6,-7) and (-2,3), is
- A rectangle has two opposite vertices at the points (1,2) and (5,5). If the other vertices lie on the line x=3, then their...