Maths-
General
Easy
Question
The intercepts made by a plane, P , on the co-ordinate axes are a, b, c. The co-ordinate axes are rotated about the origin by an angle q. The plane P now makes the intercepts a¢ , b¢ , c¢ on the (new) co-ordinate axes. Which of the following statements is true?

2 + 1 b ' 2 + 1 c ' 2 '/>
The correct answer is: 
Observe that the distance from the origin to the plane is invariant, since the origin and the plane are fixed.
Related Questions to study
maths-
A ray of light is sent through the point P (1, 2, 3) and is reflected on the XY plane. If the reflected ray passes through the point Q (3, 2, 5) then the equation of the reflected ray is
A ray of light is sent through the point P (1, 2, 3) and is reflected on the XY plane. If the reflected ray passes through the point Q (3, 2, 5) then the equation of the reflected ray is
maths-General
maths-
The length of the rectangular field in 100m If its perimeter is 300m then what is its breadth?
The length of the rectangular field in 100m If its perimeter is 300m then what is its breadth?
maths-General
maths-
The side of a square field is 65m What is the length of the fence required all around it ?
The side of a square field is 65m What is the length of the fence required all around it ?
maths-General
maths-
The dimensions of a cuboid are in the ratio 6 : 4 : 3 If the length is 42 cm, then its volume in litres
The dimensions of a cuboid are in the ratio 6 : 4 : 3 If the length is 42 cm, then its volume in litres
maths-General
maths-
If AC = 28 cm, BC = 7 cm,
BAX = x0, then area of the shaded portion is

If AC = 28 cm, BC = 7 cm,
BAX = x0, then area of the shaded portion is

maths-General
maths-
If sectors are drawn at the 3 vertices of the triangle which have equal radii then the area of the shaded portion of the given figure is

If sectors are drawn at the 3 vertices of the triangle which have equal radii then the area of the shaded portion of the given figure is

maths-General
maths-
If OX = 7 m, OY = 14m, then the area of the shaded portion is

If OX = 7 m, OY = 14m, then the area of the shaded portion is

maths-General
maths-
If OA = 12 cm, OB = 16 cm, then the area of the shaded portion is

If OA = 12 cm, OB = 16 cm, then the area of the shaded portion is

maths-General
maths-
If the circumference of a circle is 64 x, then its area is
If the circumference of a circle is 64 x, then its area is
maths-General
maths-
If the side of the square is 14 cm, then ratio of their perimeters is

If the side of the square is 14 cm, then ratio of their perimeters is

maths-General
maths-
If ABCD is a square whose diagonal is 28 cm, then the ratio of their areas is

If ABCD is a square whose diagonal is 28 cm, then the ratio of their areas is

maths-General
maths-
If AC = 60 cm, AB = 48 cm, BC = 36 cm, BX
AC, then the length of BX is

If AC = 60 cm, AB = 48 cm, BC = 36 cm, BX
AC, then the length of BX is

maths-General
maths-
The diagonals of a rhombus are 24 cm, 16 cm If one side of another rhombus of equal area is 18 cm, then the distance between parallel sides of the second rhombus is
The diagonals of a rhombus are 24 cm, 16 cm If one side of another rhombus of equal area is 18 cm, then the distance between parallel sides of the second rhombus is
maths-General
maths-
ABCD is a parallelogram in which AB = 2BC, DF = 2DE If AB = 30 cm and Area = 120 cm2 , then h1 and h2 are

ABCD is a parallelogram in which AB = 2BC, DF = 2DE If AB = 30 cm and Area = 120 cm2 , then h1 and h2 are

maths-General
maths-
From the given figures, ratio of area of paths is

From the given figures, ratio of area of paths is

maths-General