Mathematics questions
18011 published questions with worked solutions.
- The orthocentre of the triangle formed by (0,0), (8,0), (4,6) is
- The vertices of a triangle are (0,3), (-3,0) and (3,0). The coordinates of its orthocentre are
- If the vertices of a diagonal of a square are (-2,4) and (-2,-2), then its other two vertices are at
- If a line passes through the point (2,2) and encloses a triangle of area A square units with the coordinate axes, then the...
- The orthocentre of the triangle with vertices (2, 3-1 2 ), ( 12,- 12 ) and (2,- 12 ) is
- Points on the line x+y=4 which are equidistant from the lines |x|=|y|, are
- The area enclosed within the curve |x|+|y|=1, is
- The line x+2y=4 is translated parallel to itself by 3 units in the sense of increasing x and then rotated by 30^ in the clockwise...
- The orthocentre of the triangle whose vertices are (5,-2), (-1,2) and (1,4), is
- Orthocentre of the triangle whose sides are given by 4x-7y+10=0, x+y-5=0 and 7x+4y-15=0 is
- If A and B are two fixed points, then the locus of a point which moves in such a way that the angle APB is a right angle is
- Points on the line y=x whose perpendicular distance from the line 3x+4y=12 are 4 have the coordinates
- If the diagonals of a parallelogram ABCD are along the lines x+5y=7 and 10x-2y=9, then ABCD must be a
- A line is drawn from P(x_1,y_1) in the direction with the x-axis, to meet Ax+By+C=0 at Q. Then, the length PQ is equal to
- The straight line 4x+3y=12 intersects the x-axis and y-axis at A and B respectively. Then the distance BI where I is the centre...
- Points A(1,3) and C(5,1) are opposite vertices of a rectangle ABCD. If the slope of BD is 2, then its equation is
- The image of the point (1,3) in the line x+y-6=0, is
- If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_1-b_2)y+c=0, then...
- The equation of the line with gradient - 32 which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0 is
- A(-5,0) and B(3,0) are two of the vertices of a triangle ABC. Its area is 20 square cms. The vertex C lies on the line x-y=2. The...