Mathematics Tes...

The distance between 3x+4y=9 and 6x+8y=15 is

All points lying inside the triangle formed by the points (1,3), (5,0) and (1,2) satisfy

The length of latus rectum of the parabola 13y² = 14x is

The distance from the point (x,y) to the positive x-axis is

The equation of the circle, touching the axis of x at the origin and the line 3y = 4x + 24, is

A rectangular parallelopiped is formed by planes drawn  through (5,7,9) and (2,3,7) parallel to the coordinate planes. The length of the longest edge of the parallelopiped is

The equation of the circle having centre at (0,0) and radius 4 units is

A quadratic equation can contain .........

The vertices of a triangle are (3,2,5), (3,2,-1) and (7,2,5). The circumcentre of the triangle is

The coordinates of two points on the circle x² + y² − 12x − 16y + 75 = 0, one nearest to the origin and the other farthest from it, are

The length of the y – intercept of the circle x² + y² – 6x + 8y + 7 = 0 is

The points (5,-4,2), (4,-3,1),(7,-6,4) and (8, -7,5) are vertices of a

The coordinates of the point of intersection of the line $\frac{x+1}{1}=\frac{y+3}{3}=\frac{z-2}{2}$ with the plane 3x + 4y + 5z = 5 are

The focus of the parabola x² = 4ay is