(x_(1) , y_(1)) ಮತ್ತು (x_(2), y_(2)) ಪ್ಯಾರಾಬೋಲಾ y^(2) = 4a ನ ಫೋಕಲ್ ಸ್ವರಮೇಳದ ತುದಿಗಳಾಗಿದ್ದರೆ...

If A (x_(1) , y_(1)) " and B" (x_(2), y_(2)) are point on y^(2) = 4ax , then slope of AB is

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are ends of a focal chord of parabola 3y^(2) = 4x , " then " x_(1) x_(2) + y_(1) y_(2) =

Normals at two points (x_(1) ,y_(1)) and (x_(2), y_(2)) of the parabola y^(2)=4x meet again on the parabola where x_(1)+x_(2)=4 .Then sqrt(2)|y_(1)+y_(2)| =

Let A(x_(1), y_(1))" and "B(x_(2), y_(2)) be two points on the parabola y^(2)=4ax . If the circle with chord AB as a diameter touches the parabola, then |y_(1)-y_(2)|=

If x_(1),x_(2),y_(1),y_(2)in R if ^(@)0

If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in four points P (x_(1) ,y_(1)) Q (x_(2), y_(2)) R (x_(3) ,y_(3)) S (x_(4) ,y_(4)) then 1) x_(1)+x_(2)+x_(3)+x_(4)=2c^(2) 2) y_(1)+y_(2)+y_(3)+y_(4)=0 3) x_(1)x_(2)x_(3)x_(4)=2c^(4) 4) y_(1)y_(2)y_(3)y_(4)=2c^(4)

If (x_(1),y_(1)) and (x_(2),y_(2)) are ends of a focal chord of y^(2)=4ax, then values of x_(1)x_(2) and y_(1)y_(2)are(A)a^(2),a^(2)(B)2a^(2),a^(2)(C)a^(2),-4a^(2) (D) a,a

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax , evaluate : x_(1) x_(2) + y_(1) y_(2) .

If A (x_(1), y_(1)), B (x_(2), y_(2)) and C (x_(3), y_(3)) are vertices of an equilateral triangle whose each side is equal to a, then prove that |(x_(1),y_(1),2),(x_(2),y_(2),2),(x_(3),y_(3),2)| is equal to