Find the equation of a chord of the ellipse `(x^2)/(25)+(y^2)/(16)=1` joining two points `P(pi/4)` and `Q((5pi)/4)`

The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

Find the length of the chord of the ellipse x^2/25+y^2/16=1 , whose middle point is (1/2,2/5) .

If the midpoint of the chord of the ellipse x^2/16+y^2/25=1 is (0,3)

Find the equation of tangent nad normal to the ellipse 4x^(2)+y^(2)=32 at theta=(pi)/(4) .

If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0, 3), then length of the chord is (1) (32)/5 (2) 16 (3) 4/5 (4)12 (5) 32

Find the equations of tangent and normal to the ellipse x^(2)+4y^(2)=32 when theta=(pi)/(4) .

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

From any point P lying in the first quadrant on the ellipse (x^2)/(25)+(y^2)/(16)=1,P N is drawn perpendicular to the major axis and produced at Q so that N Q equals to P S , where S is a focus. Then the locus of Q is (a) 5y-3x-25=0 (b) 3x+5y+25=0 (c) 3x-5y-25=0 (d) none of these