A line which the positive direction of x-axis is drawn through the point `P(3, 4),` to cut the curve `y^2= 4x` at `Q ` and `R`. Show that the lengths of the segments `PQ` and `PR` are numerical values of the roots of the equation `r^2sin^2theta+4r(2sintheta-costheta)+4=0`

If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2)=4 at P and Q then AP .AQ=

If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2)=4 at P and Q then AP .AQ=

A line which makes an acute angle theta with the positive direction of the x-axis is drawn through the point P(3,4) to meet the line x=6 at R and y=8 at Sdot Then,

A line which makes an acute angle theta with the positive direction of the x-axis is drawn through the point P(3,4) to meet the line x=6 at R and y=8 at Sdot Then, (a) P R=3sectheta (b) P S=4cos e ctheta (c) P R=+P S=(2(3sintheta+4costheta)/(sin2theta)) (d) 9/((P R)^2)+(16)/((P S)^2)=1

A line which makes an acute angle theta with the positive direction of the x-axis is drawn through the point P(3,4) to meet the line x=6 at R and y=8 at Sdot Then, (a) P R=3sectheta (b)P S=4cos e ctheta (c)P R=+P S=(2(3sintheta+4costheta_)/(sin2theta) (d)9/((P R)^2)+(16)/((P S)^2)=1

A line which makes an acute angle theta with the positive direction of the x-axis is drawn through the point P(3,4) to meet the line x=6 at R and y=8 at Sdot Then, (a) P R=3sectheta (b) P S=4cosectheta (c) P R+P S=(2(3sintheta+4costheta))/(sin2theta) (d) 9/((P R)^2)+(16)/((P S)^2)=1

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

A tangent to the circle x^2 + y^2 = 1 through the point (0, 5) cuts the centre x^2 + y^2 = 4 at P and Q. The tangents to the circle x^2 + y^2 = 4 at P and Q meet at R. Then the co-ordinates of R are :