The line `2x+y=3` cuts the ellipse `4x^(2)+y^(2)=5` at points P and Q. If `theta` is the acute angle between the normals at P and Q, then `theta` is equal to

The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If theta is the angle between the normals at P and Q, then tantheta is equal to

If theta is the acute angle between the lines 6x^(2)+11xy+3y^(2)=0 ,then tan theta

If (theta) is an acute angle between the lines y=2x+3,y=x+1 then the value of tan theta=

If theta is the acute angle between the pair of the lines x^(2)+3xy4y^(2)=0 then sin theta=

If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^2=1 and α is the angle between normals at P and Q, then

If theta is acute angle of intersect between two curves x^(2)+5y^(2)=6 and y^(2)=x , then cot theta is equal to

A line y=2x+c intersects the circle x^(2)+y^(2)-2x-4y+1=0 at P and Q. If the tangents at P and Q to the circle intersect at a right angle,then |c| is equal to

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P and Q. The angle between the tangents at P and Q of the ellipse x^2+2y^2=6 is

If P and the origin are the points of intersection of the parabolas y^(2)=32x and 2x^(2)=27y and if theta is the acute angle between these curves at P then 5sqrt(tan theta) =