Home
Class 11
MATHS
[" 29.If "P(theta)" and "Q((pi)/(2)+thet...

[" 29.If "P(theta)" and "Q((pi)/(2)+theta)" are two points on the ellipse "],[(x^(2))/(a^(2))+(y^(2))/(b^(2))=1" ,then locus of the mid-point of "PO" is "],[[" (a) "(x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(2)" (b) "(x^(2))/(a^(2))+(y^(2))/(b^(2))=4,],[" (c) "(x^(2))/(a^(2))+(y^(2))/(b^(2))=2," (d) none of these."]],[" (c) "(x^(2))/(a^(2))+(y^(2))/(b^(2))=2" (d) none of these."]

Promotional Banner

Similar Questions

Explore conceptually related problems

if P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2+y^@/b^2=1 , locus ofmid point of PQ is

The locus of the point which divides the double ordinates of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in the ratio 1:2 internally is (x^(2))/(q^(2))+(9y^(2))/(b^(2))=1 (b) (x^(2))/(a^(2))+(9y^(2))/(b^(2))=(1)/(9)(9x^(2))/(a^(2))+(9y^(2))/(b^(2))=1( d) none of these

Find the focal distance of point P(theta) on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The locus of mid-points of a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Find the locus of the mid-points of normal chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The locus of the middle points of the portions of the tangents of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axis is the curve (a) (x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(4) (b) quad (a^(2))/(x^(2))+(b^(2))/(y^(2))=4 (c) a^(2)x^(2)+b^(2)y^(2)=4 (d) b^(2)x^(2)+a^(2)y^(2)=4

P(theta) and D(pi/2+theta) are two points on the ellipse x^2/a^2+y^2/b^2=1 . Show that the locus of the point of intersection of tangents at P and Q to the ellipse is x^2/a^2+y^2/b^2=2

If x=a sin theta and y=b cos theta , then prove : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1