Home
Class 12
MATHS
Let "P" be a point on the hyperbola H:(x...

Let "P" be a point on the hyperbola `H:(x^(2))/(9)-(y^(2))/(4)=1` ,in the first quadrant such that the area of triangle formed by "P" and the two foci of "H" is `2sqrt(13)`.Then,the square of the distance of "P" from the origin is

A

18

B

20

C

22

D

26

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

The distance of the point P(2,4) from the origin is :

The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(6)=1 such that its distance from the right directrix is the average of its distance from the two foci. Then the x-coordinate of P is

Let P be a point on the hyperbola x^(2)-y^(2)=a^(2), where a is a parameter,such that P is nearest to the line y=2x. Find the locus of P.

If P(theta) is a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 , whose foci are S and S', then SP.S'P =

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is

If P(x_(1),y_(1)) is a point on the hyperbola x^(2)-y^(2)=a^(2) , then SP.S'P= . . . .

The tangent drawn to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 , at point P in the first quadrant whose abscissa is 5, meets the lines 3x-4y=0 and 3x+4y=0 at Q and R respectively. If O is the origin, then the area of triangle OQR is (in square units)

There is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(9)=116169 such that its distance to the right directrix is the average of its distance to the two foci.Let the x-coordinate of P be (m)/(n) with m and n being integers,(n>0) having no common factor except 1.Then n-m equals

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let the set C = {(x, y) | x^2- 2^y = 2023, x, y in }. Then sum((x,y) i...

    Text Solution

    |

  2. Let the slope of the line 45x + 5y + 3 = 0 be 27 r1 + (9r2)/ 2 for som...

    Text Solution

    |

  3. Let "P" be a point on the hyperbola H:(x^(2))/(9)-(y^(2))/(4)=1 ,in th...

    Text Solution

    |

  4. Let f(x)=(x+3)^(2)(x-2)^(3),x in[-4,4] .If "M" and "m" are the maximum...

    Text Solution

    |

  5. Let f(x)={(x^2+3x+a,xle1),(bx+2,xgt1)) is differentiable everywhere. T...

    Text Solution

    |

  6. Let "a" and "b" be be two distinct positive real numbers.Let 11^(" th ...

    Text Solution

    |

  7. Sum of common roots of the equations z^(3) + 2z^(2) + 2z + 1 =0 and z...

    Text Solution

    |

  8. Let vec a and vec b be two vectors such that |vec b|=1and |vec b times...

    Text Solution

    |

  9. Let R=([x,0,0],[0,y,0],[0,0,z]) be a non-zero 3times3 matrix,where x s...

    Text Solution

    |

  10. Let L(1):vec r=(hat i-hat j+2 hat k)+lambda(hat i-hat j+2 hat k),lambd...

    Text Solution

    |

  11. Consider the system of linear equations x+y+z=5, x+2y+lambda^(2)z=9,x+...

    Text Solution

    |

  12. Let alpha, betain(0,pi/2),3sin(alpha+beta)=2sin(alpha-beta) and tanalp...

    Text Solution

    |

  13. Suppose 2-p,p,2-alpha,alpha are the coefficients of four consecutive t...

    Text Solution

    |

  14. Let y=f(x) be a thrice differentiable function in (-5,5) .Let the tang...

    Text Solution

    |

  15. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

    Text Solution

    |

  16. Let f:R-{0}rarr R be a function satisfying f((x)/(y))=(f(x))/(f(y)) fo...

    Text Solution

    |

  17. Let A(alpha,0) and B(0,beta) be the points on the line 5x+7y=50 .Let t...

    Text Solution

    |

  18. Let vec a= hat i+alpha hat j+beta hat k,alpha,beta in R .Let a vector ...

    Text Solution

    |

  19. Bag A contains "3" white,"7" red balls and Bag B contains "3" white,"2...

    Text Solution

    |

  20. If the domain of the function f(x)=log(e)((2x+3)/(4x^(2)+x-3))+cos^(-1...

    Text Solution

    |