Focal distances

JEE Main Mathematics · Ellipse · 6 questions, latest first

• Let A be the point (3,0) and circles with variable diameter AB touch the circle x^2+y^2=36 internally. Let the curve C be the…20262 April, Shift 2 · Q23
• Let S and S' be the foci of the ellipse x^2/25+y^2/9=1 and P(α, β) be a point on the ellipse in the first quadrant. If…202622 January, Shift 2 · Q10
• Let the ellipse 3 x^2+p y^2=4 pass through the centre C of the circle x^2+y^2-2 x-4 y-11=0 of radius r. Let f_1, f_2 be the focal…20258 April, Shift 2 · Q12
• The centre of a circle C is at the centre of the ellipse E: x^2/(a^2)+y^2/(b^2)=1, a>b. Let C pass through the foci F_1 and F_2…20254 April, Shift 2 · Q11
• If S and S' are the foci of the ellipse x^2/18+y^2/9=1 and P be a point on the ellipse, then min (SP · S^′ P)+ max (SP · S^′ P)…20252 April, Shift 1 · Q4
• Let the product of the focal distances of the point (√3, 1/2) on the ellipse x^2/a^2+y^2/b^2=1,(a>b), be 7/4. Then the absolute…202524 January, Shift 1 · Q11