If the product of the intercepts make by the straight line `xtan alpha+y sec alpha=1, (0 le alpha lt (pi)/2)`, on the co-ordinates axes is equal to `sin alpha,` find `alpha`.

If the product of the intercepts made by the straight line x tan alpha + y sec alpha =1, (0 le alpha le (pi)/2) , on the co-ordinates axes is equal to sin alpha , find alpha .

If the product of the intercepts made by the straight line xtan alpha+ y sec alpha-1(0<=alpha

Find the intercepts on the axes made by the straight lines : x cos alpha+y sin alpha=sin2 alpha .

Solve : tan ^(2) alpha + sec alpha - 1 = 0,0 le alpha lt 2pi.

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

if 7 sin alpha = 24 cos alpha 0 lt alpha lt pi/2 . Then the value of 14 tan alpha - 75 cos alpha-7 sec alpha is

If the straight line y=x sin alpha+a sec alpha be a tangent to the circle then show that cos^(2)alpha=1

. Find the locus of the middle point of the portion of the line-segment made by the straight line x cos alpha+y sin alpha=4 and the axes of co-ordinates