Home
Class 12
MATHS
If y=a x^2+b x+c represents the curve gi...

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

A

`3/2`

B

`3/4`

C

3

D

6

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If y=ax^(2)+bx+c represents the curve given in the figure and b^(2)=2(b+2ac) where a!=0 and AP=3 units,then OP=(3)/(2) (b) (3)/(4)(c)3(d)6

Area of the region bounded by the curves y=2^x, y=2x-x^2, x=0 and x=2 is given by (A) 3log2-4/3 (B) 3/log2-4/3 (C) 3log2+4/3 (D) 3/log2+4/3

If (a+b+2c+3d)(a-b-2c+3d)=(a-b+2c-3d)(a+b-2c-3d) , then 2b c is equal to 3/2 (b) (3a)/(2d) (c) 3a d (d) a^2d^2

The point on the curve y=x^2-3x+2 where tangent is perpendicular to y=x is (0,2) (b) (1,\ 0) (c) (-1,\ 6) (d) (2,\ -2)

If (a)/(b)=(4)/(3), then (3a+2b)/(3a-2b)=?( a) -1 (b) 3 (c) 5(d)6

The equation of the tangent to the curve y=2.e^((-x)/(3)) where it crosses the y- axis is (A) 2x+3y=0 (B) 2x+3y=9 (c) 2x+3y=4 (D) 2x+3y=6

a,b,c are in G.P. and a+b+c=xb, x can not be (a) 2 (b) -2 (c) 3 (d) 4

If 2a=3b=4c, then a:b:c=2:3:4(b)3:4:64:3( d) 6:4:3

The line parallel to the x-axis and passing through the intersection of the lines a x+2b y+3b=0 and b x-2y-3a=0 , where (a , b)!=(0,0) , is (a)above the x-axis at a distance of 3/2 units from it (b)above the x-axis at a distance of 2/3 units from it (c)below the x-axis at a distance of 3/2 units from it (d)below the x-axis at a distance of 2/3 units from it

If a,b,c are in A.P; a,x,b are in G.P.and b,y,c are in G.P.then x^(2),b^(2),y^(2) are in

RESONANCE-DPP-QUESTION
  1. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  2. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  3. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  4. If x1, x2& x3 are three distinct numbers which satisfy the relation (a...

    Text Solution

    |

  5. When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are...

    Text Solution

    |

  6. Number of zeros after decimal before first significant dign in the num...

    Text Solution

    |

  7. The expressin (1)/(1+(x)/(1-(x)/(x+2)))div ((1)/(1-x)+(1)/(1+x))/((...

    Text Solution

    |

  8. For any two non-empty sets A and B which of the following is pair wise...

    Text Solution

    |

  9. In a survey, 50 people like product A, 30 people like product B and 20...

    Text Solution

    |

  10. If A {phi,{phi},{{phi}}, then the number of proper subsets of the powe...

    Text Solution

    |

  11. In an examination of a certain class, at least 70% of the students fai...

    Text Solution

    |

  12. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3)dot Then N is ...

    Text Solution

    |

  13. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |

  14. Let a ,b be two single digit natural numbers and 'aa bb' is a four di...

    Text Solution

    |

  15. If sintheta=5sin(theta+phi) then tan(theta+phi)=

    Text Solution

    |

  16. sin 300°. tan 330°. sec 420° tan 135°. sin 210°. sec 315 sec 480°. cos...

    Text Solution

    |

  17. For m in R, let f(x) =x^(3)+3mx^(2)-3x-3m+2"has 3 real roots" x(1),x(2...

    Text Solution

    |

  18. The integral values of x for which x^(2)+7x+13 is perfect square are a...

    Text Solution

    |

  19. The number of integral values of a for which the quadratic equation (x...

    Text Solution

    |

  20. If both roots of the equation a(x^2-1)+x+c are imaginary and c gt -1 t...

    Text Solution

    |