Home
Class 11
MATHS
Find the intervals of the values of a fo...

Find the intervals of the values of `a` for which the line `y+x=0` bisects two chords drawn from the point `((1+sqrt(2)a)/2,(1-sqrt(2)a)/2)` to the circle `2x^2+2y^2-(1+sqrt(2)a)x-(1-sqrt(2)a)=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    BANSAL|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

(1) x^(2)-(sqrt(2)+1)x+sqrt(2)=0

To which of the circles,the line y-x+3=0 is normal at the point (3+3sqrt(2),3sqrt(2)) is

If x*y=sqrt(x^2+y^2) the value of (1*2 sqrt 2)(1*-2 sqrt 2) is

Find the equation of a line parallel to the line x+2y-1=0, which is at a distance of 2sqrt(5) units from the point (1,3) .

Find the equation of the normal to the circle x^(2)+y^(2)=9 at the point ((1)/(sqrt(2)),(1)/(sqrt(2)))

If x=1+sqrt(2) and y=1-sqrt(2), find the value of (x^(2)+y^(2))

Find the equation of the normal to the circle x^(2)+y^(2)=1 at the point5((1)/(sqrt(2)),(1)/(sqrt(2)))

If 2x = sqrt(a) - (1)/(sqrt(a)) , then the value of (sqrt(x^(2) + 1))/(x + sqrt(x^(2) +1)) is

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)