Home
Class 12
MATHS
If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =...

If `4x^(2)+ py^(2) =45` and `x^(2)-4y^(2) =5` cut orthogonally, then the value of p is

A

`1/9`

B

9

C

3

D

18

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 19

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

If 4(x-sqrt2)^(2)+lambda(y-sqrt3)^(2)=45 and (x-sqrt2)^(2)-4(y-sqrt3)^(2)=5 cut orthogonally, then integral value of lambda is ________.

If the curve ax^(2) + 3y^(2) = 1 and 2x^2 + 6y^2 = 1 cut each other orthogonally then the value of 2a :

If the two circles 2x^(2)+2y^(2)-3x+6y+k=0 and x^(2)+y^(2)-4x+10y+16=0 cut orthogonally,then find the value of k .

If the curves 2x^(2)+3y^(2)=6 and ax^(2)+4y^(2)=4 intersect orthogonally, then a =

If the curves y^(2)=4x and xy=a,a>0 cut orthogonally,then a is

When the circles x^(2)+y^(2)+4x+by+3=0 and 2(x^(2)+y^(2))+6x+4y+C=0 intersect orthogonally,then find the value of c is

If the circles x^2+y^2-2x-2y+7=0 and x^2+y^2+4x+2y+k=0 cut orthogonally, then the length of the common chord of the circles is a.(12)/(sqrt(13)) b. 2 c. 5 d. 8

If the curves y^(2)=4ax and xy=c^(2) cut orthogonally then (c^(4))/(a^(4))=

The value of k so that x^(2)+y^(2)+kx+4y+2=0 and 2(x^(2)+y^(2))-4x-3y+k=0 cut orthogonally, is

Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 20-PAPER 2 (Mathematics)
  1. If the plane 3x-2y-z-18=0 meets the coordinate axes in A,B,C then, the...

    Text Solution

    |

  2. The locus of the point P(x,y) satisfying the relation sqrt((x-3)^2+(y-...

    Text Solution

    |

  3. The contrapositive of p implies ~q is

    Text Solution

    |

  4. The point at which the tangent to the curve y=2x^(2)-x+1 is parallel t...

    Text Solution

    |

  5. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

    Text Solution

    |

  6. lim(x to oo) ((x+a)/(x+b))^(x+b) is equal to

    Text Solution

    |

  7. If the distance of the point (1,1,1) from the origin is half its dista...

    Text Solution

    |

  8. Forces acting on a particle have magnitude 5,3 and 1 unit and act in t...

    Text Solution

    |

  9. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

    Text Solution

    |

  10. If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the v...

    Text Solution

    |

  11. If A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alph...

    Text Solution

    |

  12. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  13. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  14. The length of the transverse axis of a hyperbola, 2 cos0. the foci of ...

    Text Solution

    |

  15. The equation to the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  16. sin47^@+sin61^@-sin11^@-sin25^@=

    Text Solution

    |

  17. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  18. Let {:A=[(1,2),(3,4)]and BA=[(a,0),(0,b)]:},a,b in N Then,

    Text Solution

    |

  19. The position of a point in time t is given by x=a+bt-ct^(2),y=at+bt^(2...

    Text Solution

    |

  20. If y=(1+x^(2))tan^(-1) x-x , then (dy)/(dx) is equal to

    Text Solution

    |