`3x+3y=7` को `xcos alpha+ y sin alpha=p` रूप में लिखे तो `cos alpha = ………….`

The angle between the lines x cos alpha + y sin alpha = a and x sin beta - y cos alpha = a is

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha = a and x sin alpha - y cos alpha = b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then |a+b| is equal to

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to

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

The locus of the point of intersection of the lines x cos alpha + y sin alpha=a and x sin alpha-y cos alpha=b , where alpha is a parameter is

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 a) sqrt2 b) (1)/( sqrt2) c) - sqrt2 d) - (1)/( sqrt2)

Show that the image of the point (h,k) with respect to the striaight line x cos alpha+ y sin alpha=p is the point (2 p cos alpha- h cos2 alpha- k sin 2 alpha, 2p sin alpha- h sin 2 alpha- k cos 2 alpha) .

If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha and x sin alpha - y cos alpha =0 , then x^2 +y^2 is

If x sin ^ (3) alpha + y cos ^ (3) alpha = sin alpha cos alpha and x sin alpha-y cos alpha = 0 then x ^ (2) + y ^ (2) =