Fill in the blanks:
Distance of the point `(alpha,beta)` from the line x = 0 is ……………

Distance of the point (alpha, beta,gamma) from y-axis is

Fill ups The distance of the point (0,-4) from the origin is……………..

The reflection of the point (alpha,beta,gamma) in the xy-plane is:

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

Statement I Reflection of the point (5,1) in the line x+y=0 is (-1,-5) Statement II Reflection of a point P(alpha,beta) in the line ax+by+c= 0 is Q (alpha',beta' ) " if " ((alpha +alpha')/2 ,(beta +beta' )/2) lies on the line .

Prove that the distance of the point (a cos alpha, a sin alpha) from the origin is independent of alpha

Fill in the blanks The are bounded by the axes and the line y= x+1 is………. .

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y -5 = 0 and 3x -2y +7 = 0 is always 10. Show that P must move on a line.