The values of `lamda` for which the line y=x+`lamda` touches the ellipse `9x^(2)+16y^(2)=144` , are

The value value of lambda so that the line y=2x+lambda may touch the ellipse 3x^(2)+5y^(2)=15

The value of |C| for which the line y=3x+c touches the ellipse 16x^2+y^2=16 is:

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then lambda =

For what value of lambda does the line y=2x+lambda touches the hyperbola 16x^(2)-9y^(2)=144 ?

Find the length of the latus rectum of the ellipse 9x^(2)+16y^(2)=144

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

Show that the line y =x + sqrt7 touches the hyperbola 9x ^(2) - 16 y ^(2) = 144.

If values of a, for which the line y=ax+2sqrt(5) touches the hyperbola 16x^2-9y^2 = 144 are the roots of the equation x^2-(a_1+b_1)x-4=0 , then the values of a_1+b_1 is

Column I, Column II An ellipse passing through the origin has its foci (3, 4) and (6,8). Then the length of its minor axis is, p. 8 If P Q is a focal chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 which passes through S-=(3,0) and P S=2, then the length of chord P Q is, q. 10sqrt(2) If the line y=x+K touches the ellipse 9x^2+16 y^2=144 , then the difference of values of K is, r. 10 The sum of distances of a point on the ellipse (x^2)/9+(y^2)/(16)=1 from the foci is, s. 12

If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then k =