Home
Class 12
MATHS
If the locus of the foot of the perpendi...

If the locus of the foot of the perpendicular drawn from centre upon any tangent to the ellipse `(x^(2))/(40)+(y^(2))/(10)=1` is `(x^(2)+y^(2))^(2)=ax^(2)+by^(2)`, then `(a-b)` is equal to

A

10

B

20

C

25

D

30

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 17

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 2

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The locus of the foot of the perpendicular drawn from the centre on any tangent to the ellipse x^2/25+y^2/16=1 is:

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The locus of the foot of the perpendicular drawn from the origin to any tangent to the hyperbola (x^(2))/(36)-(y^(2))/(16)=1 is

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Product of perpendiculars drawn from the foci upon any tangent to the ellipse 3x^(2)+4y^(2)=12 is

The product of perpendiculars from the focii upon any tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is b^(2)

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is b^(2)

Find the locus of the foot of the perpendicular drawn from the point (7,0) to any tangent of x^(2)+y^(2)-2x+4y=0

the locus of the foot of perpendicular drawn from the centre of the ellipse x^(2)+3y^(2)=6 on any point:

NTA MOCK TESTS-JEE MOCK TEST 18-MATHEMATICS
  1. If two parabolas y^(2)-4a(x-k) and x^(2)=4a(y-k) have only one common ...

    Text Solution

    |

  2. If a, b & 3c are in arithmetic progression and a, b & 4c are in geomet...

    Text Solution

    |

  3. The number of terms in the expansion of (5^((1)/(6))+7^((1)/(9)))^(182...

    Text Solution

    |

  4. The number of ways in which 10 balls can be selected from 10 identical...

    Text Solution

    |

  5. Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1), then...

    Text Solution

    |

  6. If A & B are two sets such that n(AxxB)=60 & n (A) = 12 also n(AnnB)=K...

    Text Solution

    |

  7. The value of lim(xrarr0^(-))(2^(1//x)+2^(3//x))/(3(2^(1//x))+5(2^(3//x...

    Text Solution

    |

  8. If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the ...

    Text Solution

    |

  9. The contrapositive of the statement: "If the weather is fine then my f...

    Text Solution

    |

  10. Lines L(1) & L(2) are rotating in an anticlockwise direction about the...

    Text Solution

    |

  11. The value of the integral inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3co...

    Text Solution

    |

  12. If the locus of the foot of the perpendicular drawn from centre upon a...

    Text Solution

    |

  13. Let M=[(a,b,c),(d,e,f),(1,1,1)] and N=(M^(2))/(2). If (a-b)^(2)+(d-e)^...

    Text Solution

    |

  14. A small pack of cards consists of 5 green cards 4 blue cards and 3 bla...

    Text Solution

    |

  15. Let veca, vecb, vecc be three vectors of magntiude 3, 4, 5 respectivel...

    Text Solution

    |

  16. Let Z=re^(itheta)(r gt 0 and pi lt theta lt 3pi) is a root of the equa...

    Text Solution

    |

  17. If I(n)=int(0)^(npi)max(|sinx|,|sin^(-1)(sinx)|)dx, the I(2)+I(4) has ...

    Text Solution

    |

  18. If x in [0,2pi] then the number of solution of the equation 81^(sin^2x...

    Text Solution

    |

  19. If f(x)={{:((sin2x)/(cx)+(x)/((sqrt(x+a^(2))-a)),,,xne 0"," (alt0)),(b...

    Text Solution

    |

  20. A harbour lies in a direction 60^@ south - west from a fort and at a d...

    Text Solution

    |