Home
Class 10
MATHS
A variable plane moves in such a way tha...

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the coordinate axes is a constant. Show that the plane passes through a fixed point.

Text Solution

Verified by Experts

The correct Answer is:
12m, 5m
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise TRY THIS|9 Videos

  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise DO THIS|7 Videos

  • PROGRESSIONS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos

  • REAL NUMBERS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

The slope of a curve, passing through (3,4) at any point is the reciprocal of twice the ordinate of that point. Show that it is parabola.

A point moves such that the sum of the square of its distances from two fixed straight lines intersecting at angle 2alpha is a constant. Prove that the locus of points is an ellipse

A quadrilateral is inscribed in a parabola y^2=4a x and three of its sides pass through fixed points on the axis. Show that the fourth side also passes through a fixed point on the axis of the parabola.

Prove that all the lines having the sum of the interceps on the axes equal to half of the product of the intercepts pass through the point. Find the fixed point.

If the sum of the squares of the distance of a point from the three coordinate axes is 36, then find its distance from the origin.

Find equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.

If the algebraic sum of the distances from the points (2,0), (0, 2) and (1, 1) to a variable line be zero then the line passes through the fixed point.