The number of such points `(a+1,sqrt(3)a)`

The number of such points (a+1,sqrt3a) , where a is any integer, lying inside the region bounded by the circles x^2 +y^2-2x-3=0 and x^2+y^2-2x-15=0 , is

The number of such points (a+1,sqrt3a) , where a is any integer, lying inside the region bounded by the circles x^2 +y^2-2x-3=0 and x^2+y^2-2x-15=0 , is

The number of such points (a+1,sqrt3a) , where a is any integer, lying inside the region bounded by the circles x^2 +y^2-2x-3=0 and x^2+y^2-2x-15=0 , is

Find the angle which the line joining the points (1, sqrt3) and (sqrt2, sqrt6) makes with the x-axis.

The number of solutions for sqrt(5x+7)-sqrt(3x+1)=sqrt(x+3) is:

Show that the number of tangents that can be drawn from the point (5/2,1) to the circle passing through the points (1,sqrt(3)),(1-sqrt(3)) and (3,-sqrt(3)) is zero.

Show that the number of tangents that can be drawn from the point (5/2,1) to the circle passing through the points (1,sqrt(3)),(1,-sqrt(3)) and (3,-sqrt(3)) is zero.

The number of points in the form (alpha+1,sqrt3alpha),alpha in Z , lying inside the region bounded by the circle (x-1)^2+y^2=4 and (x-1)^2+y^2=16 is ___

The inclination of the line joining the points (3-sqrt(3)) and (sqrt(3),-1) is -

AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60o . He moves away from the pole along the line BC to a point D such that C D""=""7""m . From D the angle of elevation of the point A is 45o . Then the height of the pole is (1) (7sqrt(3))/2 1/(sqrt(3)-1)m (2) (7sqrt(3))/2 sqrt(3)+1m (3) (7sqrt(3))/2 sqrt(3)-1m (4) (7sqrt(3))/2 sqrt(3)+1m