The coordinate axes are roted about the origin O in the counterclockwise direction through an angle `60^(@)`. If p and q are the intercepts made on the new axes by a straight line whose equation refered to the original axes is `x+y=1` then `1//p^(2)+1//q^(2)=`

The co-ordinate axes are rotated about the origin O in the counter-clockwise direction through an angle 60^(@) If p and q are the intercepts made on the new axes by a straight line whose equation referred to the original axes is x + y = 1 , then (1)/(p^(2)) + (1)/(q^(2)) =

The co-ordinate axes are rotated about the origin O in the counter-clockwise direction through an angle 60^(@) If a and b are the intercepts made on the new axes by a straight line whose equation referred to the original axes is 3x + 4y = 5 , then (1)/(a^(2)) + (1)/(b^(2)) =

The coordinate axes are rotated about the origin 'O' in the counter clockwise direction through an angle of 60^(@) If a and b are the intercepts on the axes by a straight line whose equation referred to original axes is 3x+4y-5=0 then (1)/(a^(2))+(1)/(b^(2))=

Let L be the line 2x+y-2=0. The axes are rotated by 45^(@) in clockwise direction then the intercepts made by the line L on the new axes are respectively

Keeping the origin constant axes are rotated at an angle 30^@ in anticlockwise direction then new coordinate of (2, 1) with respect to old axes is

A plane makes intercepts 1,2, 3 on the coordinate axes. If the distance from the origin is p, then the value of p is

The line L has intercepts a and b on the coordinate axes. The coordinate axes are rotated through a fixed angle, keeping the origin fixed. If p and q are the intercepts of the line L on the new axes, then (1)/(a^(2))-(1)/(p^(2))+(1)/(b^(2))-(1)/(q^(2)) is equal to

If the axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

If the axes are rotated through 60^@ in anticlockwise direction about origin. Find co-ordinates of point(2,6) in new co-ordinate axes.

Let L be the line 2x+y=2. If the axes are rotated by 45^(@) without transforming the origin ,the intercepts made by line L on the new are