Home
Class 12
MATHS
If y=ax^(2)+bx+c represents the curve gi...

If `y=ax^(2)+bx+c` represents the curve given in the figure and `b^(2)=2(b+2ac),` where `a ne0andAP=3` units, then OP is equal to (where O is origin)=

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+2a c), where a!=0 and A P=3 units, then O P= 3/2 (b) 3/4 (c) 3 (d) 6

If a=b^2c , where a ne 0 and b ne 0 , then b/c =

If the zeroes of the quadratic ax^(2)+bx+c where c ne 0 , are equal then:

If y^(2) = ax^(2) + bx + c where a, b c are contants then y^(3)(d^(2)y)/(dx^(2))= ?

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

Find the point on the curve 9y^2=x^3, where the normal to the curve makes equal intercepts on the axes.

(-3x^(2) + 5x -2) -2(x^(2)-2x-1) If the expression above is rewritten in the form ax^(2) + bx +c , where a, b, and c are constants, what is the value of b ?

Let f(x)=ax^(2)+bx + c , where a in R^(+) and b^(2)-4ac lt 0 . Area bounded by y = f(x) , x-axis and the lines x = 0, x = 1, is equal to :

Find the minimum distance of origin from the curve ax^(2) +2bxy+ay^(2)=c where a gt b gt c gt0

When (2x - 3)^(2) is written in the form ax^(2) + bx + c where a, b and c are integers, a + b + c = ?

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If a, b, c are positive and unequal, show that value of the determina...

    Text Solution

    |

  2. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>sin^(-...

    Text Solution

    |

  3. If y=ax^(2)+bx+c represents the curve given in the figure and b^(2)=2(...

    Text Solution

    |

  4. Which of the following function(s) defined below are continuous at the...

    Text Solution

    |

  5. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

    Text Solution

    |

  6. Find the domain of the following function: f(x)=1/([|x-1|]+[|12-x|]-11...

    Text Solution

    |

  7. The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagona...

    Text Solution

    |

  8. If the lines joining the points of intersection of the curve 4x^2+9y+1...

    Text Solution

    |

  9. If |1 1 1a b c a^3b^2c^3|=(a-b)(b-c)(c-a)(a+b+c),w h e r ea ,b ,c are ...

    Text Solution

    |

  10. The equation of the circle of radius 5 in the first quadrant which ...

    Text Solution

    |

  11. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

    Text Solution

    |

  12. If (a,a^(2)) falls inside the angle made by the linear equations y=x/2...

    Text Solution

    |

  13. (2sec theta+3 tan theta+5 sin theta -7cos theta+5)/(2tan theta+3 sec t...

    Text Solution

    |

  14. If A and B are symmetric matrices, prove that AB BA is a skew symm...

    Text Solution

    |

  15. If a, b c are real numbers satisfying the condition a+b+c=0 then the r...

    Text Solution

    |

  16. If x(1),x(2)& x(3) are three distinct numbers which satisfy the ralati...

    Text Solution

    |

  17. The solution set of the inequality (3^x-4^x)/(x^2-3x-4)geq0 is

    Text Solution

    |

  18. If the lines x^2+2x y-35 y^2-4x+44 y-12=0&5x+lambday-8=0 are conc...

    Text Solution

    |

  19. If P=(s in 300^0dott a n 330^0dots e c 420^0)/(tan135^0dots in 210^0d...

    Text Solution

    |

  20. Which of the following equations have no real solutions? (a) x^2-2x+5...

    Text Solution

    |