The transformed equation of `x cos alpha + y sin alpha = p` when the axes are rotated through an angle `alpha` is

The transformed equation of x sin alpha - y cos alpha =p when the axes are rotated through an angle alpha is

Find the transformed equation of x cos alpha + y sin alpha = p if the axes are rotated through an angle alpha

If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^(2) = a^(2) when the axes are rotated through an angle alpha , then the original equation of the curve is

if the equations y=mx+c and x cos alpha+y sin alpha=p represent the same straight line then:

When the origin is shifted to (1, -2) by translation of coordinate axes, the transformed coordinates of (3.-2) are (alpha , beta) If the axes are rotated about origin through an angle of 45^@ after the translation, then the transformed coordinates of (alpha , beta) are

Find the area of the triangle formed by the straight line x sin alpha + y cos alpha = p with the axes of coordinates .

If x cos alpha + y sin alpha = x cos beta + y sin beta "then" "tan" (alpha + beta)/2=

If the equation 3x + 3y + 5 = 0 is written in the form x cos alpha + y sin alpha = p , then the value of sin alpha + cos alpha is