Home
Class 12
MATHS
If a!=0 and the line 2b x+3c y+4d=0 pass...

If `a!=0` and the line `2b x+3c y+4d=0` passes through the points of intersection of the parabolas `y^2=4a x` and `x^2=4a y ,` then: `d^2+(2b+3c)^2=0` (b) `d^2+(3b+2c)^2=0` `d^2+(2b-3c)^2=0` (d) `d^2+(3b-2c)^2=0`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If a!=0 and the line 2bx+3cy+4d=0 passes through the points of intersection of the parabolas y^(2)=4ax and x^(2)=4ay, then of (a)d^(2)+(2b+3c)^(2)=0(b)d^(2)+(3b+2c)^(2)=0(c)d^(2)+(2b-3c)^(2)=0 (d)none of these

The range of a for which a circle will pass through the points of intersection of the hyperbola x^(2)-y^(2)=a^(2) and the parabola y=x^(2) is (A)(-3,-2)(B)[-1,1] (C) (2,4)(D)(4,6)

Area bounded by the parabola y^2=x and the line 2y=x is (A) 4/3 (B) 1 (C) 2/3 (D) 1/3

Locus of the point of intersection of the perpendicular tangents of the curve y^(2)+4y-6x-2=0( A) 2x-1=0(B)2x+3=0(C)2y+3=0 (D) 2x+5=0

If the line x-1=0 is the directrix of the parabola y^(2)-kx+8=0 then "k" is A.) 3 B.)-3 C.)4 D.)5

The equation of the circle through the points of intersection of x y -1 -0, x y -2x-4 y l 0 and touching the line x 2y 0, is (B) x y 2 x+20 (C) x y (D) 2 (x2 y x 2

If theta is the angel between the planes 2x-y+z-1=0 and x-2y+z+2=0 then costheta= (A) 2/3 (B) 3/4 (C) 4/5 (D) 5/6

Let the parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0). Then a+b+c=0a+b=2b-c=1(d)a+c=-2

If a+b+c=0 , then the family of lines 3a x+b y+2c=0 pass through fixed point a. (2,2/3) b. (2/3,2) c. (-2,2/3) d. none of these

The equation of a straight line passing through the point (2,3) and inclined at an angle of tan^(-1)((1)/(2)) with the line y+2x=5 (a) y=3( b) x=2( c) 3x+4y-18=0 (d) 4x+3y-17=0

RESONANCE DPP-JEE MAINS-All Questions
  1. 'A' writes a letter to his friend 'B' and gives it to his son to post ...

    Text Solution

    |

  2. If chocolates of a particular brand are all identical then the number ...

    Text Solution

    |

  3. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of inter...

    Text Solution

    |

  4. Let M be the maximum and m be the minimum value of |2/(3+i e^(itheta))...

    Text Solution

    |

  5. Number of quadrilaterals which can be constructed by joining the verti...

    Text Solution

    |

  6. In how many different ways a grandfather along with two of his grandso...

    Text Solution

    |

  7. If m denotes the number of 5 digit numbers if each successive digits a...

    Text Solution

    |

  8. There are 4 urns. The first urn contains 1 white and 1 black ball, the...

    Text Solution

    |

  9. y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8...

    Text Solution

    |

  10. If m and n are the smallest positive integers satisfying the relation ...

    Text Solution

    |

  11. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  12. n^(t h) terms of the series 1+4/5+7/(5^2)+(10)/(5^3)+ ......... will b...

    Text Solution

    |

  13. A five digits number of the form xyzyx is choosen, probability that xl...

    Text Solution

    |

  14. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

    Text Solution

    |

  15. The number of zeros at the end of 70!, is

    Text Solution

    |

  16. If all the letters of the word IIT-JEE are written at random in a row,...

    Text Solution

    |

  17. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  18. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

    Text Solution

    |

  19. If the point Q is choosen such that PA, PQ and PB are in G.P, then ...

    Text Solution

    |

  20. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |