Home
Class 12
MATHS
Suppose S and S' are foci of the dllipse...

Suppose S and S' are foci of the dllipse `(x^(2))/(25) + (y^(2))/(16) =1.` If P is a variable point on the ellipse and if `Delta` is the area of the triangle PSS', then maxzimum value of `Delta` is

A

12

B

8

C

16

D

20

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Prove that SP + S'P = 20 for the ellipse (x^(2))/(100) + (y^(2))/(36) = 1 , S and S' are the two foci of the ellipse and P is any point on the ellipse

Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right angle at a point P . Then the locus of P is _

If A is the area and 2s is the sum of the sides of a triangle, then

S_(1) ,S_(2) are two foci of the ellipse x^(2) + 2y^(2) = 2 . P be any point on the ellipse The locus incentre of the triangle PSS_(1) is a conic where length of its latus rectum is _

P is a point on the median AD of the Delta ABC . Prove that area of Delta APB = area of Delta APC .

In a triangle ABC, if a =2x, b=2y and C=120^(@), then the area of the triangle is-

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' as the major axis. Find the maximum area of triangle A P A '

Let F_(1)(x_(1),0) and F_(2)(x_(2),0) , for x_(1)lt0 and x_(2)gt0 , be the foci of the ellipse (x^(2))/(9)+(y^(2))/(8)=1 . Suppose a parabola having vertex at the orgin and focus at F_(2) intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant. If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF_(1)NF_(2) is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 6
  1. If phi is the empty set then which one of the following is correct ?

    Text Solution

    |

  2. Let f (x)= [x] where [x] denotes the greatest integer contained in x. ...

    Text Solution

    |

  3. Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which o...

    Text Solution

    |

  4. Suppose S and S' are foci of the dllipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  5. In a class containing 120 students, 65 students dring tea and 84 stude...

    Text Solution

    |

  6. The number of elements in the set {(a,b), 2a^(2) +3b^(2) =35, a, b, in...

    Text Solution

    |

  7. Which one of the following is correct for the graph of y=|x| ?

    Text Solution

    |

  8. The value of lim (hto0) 1/h[(1)/(""^(3)sqrt(8+h))-1/2] is-

    Text Solution

    |

  9. If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when...

    Text Solution

    |

  10. If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1...

    Text Solution

    |

  11. If n is any integer, then all the points at which the function f (x) =...

    Text Solution

    |

  12. If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):...

    Text Solution

    |

  13. If the function f (x) is differentiable at x=h, then the value of lim(...

    Text Solution

    |

  14. If y= cot ^(-1)""(b-ax)/(a+bx), then the value of (dy)/(dx) is-

    Text Solution

    |

  15. If l(x) is the least interger not less than x and g(x) is the greatest...

    Text Solution

    |

  16. If f (2x+3) =sin x+2^(x), then the value of f (4m-2n+3) is-

    Text Solution

    |

  17. Let f (x) {{:((sin 5x)/(x ^(2) +2x)",", "when" x ne0),(k +1/2",","when...

    Text Solution

    |

  18. If f (x) =(alphax)/(x+1) (x ne -1), then the value of alpha for which ...

    Text Solution

    |

  19. The deerivative of y=(1-x) (2-x) ..(n-x) at x=1 is equal to-

    Text Solution

    |

  20. If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)](x=0)...

    Text Solution

    |