BHU Entrance exam cut off for uet / pet

Slope of a line which cuts off intercepts of equal lengths on the axes is

Slope of a line which cuts off intercepts of equal lengths on the axes is

Find the intercepts cut off by the plane 2x + y- z = 5 .

The height of a solid cone is 30 cm. A small cone is cut off from the top of it such that the base of the cone cut off and the base of the given cone are parallel to each other. If the volume of the cone cut and the volume of the original cone are in the ratio 1:27, find the height of the the remaining part of the given cone.

The locus of centre of a circle which passes through the origin and cuts off a length of 4 units on the line x =3 is

Find the sum of the intercepts cut off by the plane 2x+y-z=5 , on the coordinate axes.

Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

Write the intercept cut off by the plane 2x+y-z=5 on x-axis

Prove that the area of the triangle cut off from the coordinate axes by a tangent to a hyperbola is constant.

Find the equation of the circle which passes through the origin and cuts off intercepts 3 a n d 4 from the positive parts of the axes respectively.