Home
Class 11
MATHS
The least integral value of ' a ' for wh...

The least integral value of `' a '` for which the graphs `y=2a x+1` and `y=(a-6)x^2-2` do not intersect: (a) `-6` (b) `-5` (c) 3 (d) 2

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos

  • CONIC SECTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

Find the points at which the graphs of y=1/2x^2 -3 and y=x +1 intersect.

The graphs of y=2x-5 and x + 3y=-1 intersect at

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is (a).0 (b) 1 (c) 2 (d) infinite

The angles at which the circles (x-1)^2+y^2=10a n dx^2+(y-2)^2=5 intersect is pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The value of k for which the system of equations x+2y=5,\ \ 3x+k y+15=0 has no solution is (a) 6 (b) -6 (c) 3//2 (d) None of these

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) -2 (b) 0 (c) 4 (d) 1

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) 2 (b) 0 (c) 4 (d) 1

If y=3^(x-1)+3^(-x-1) , then the least value of y is (a) 2 (b) 6 (c) 2//3 (d) 3//2

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

The number of common chords of the parabolas x=y^2-6y+11 and y=x^2-6x+11 is (a) 1 (b) 2 (c) 4 (d) 6

RESONANCE DPP ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a, b c are real numbers satisfying the condition a+b+c=0 then the r...

    Text Solution

    |

  2. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |

  3. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  4. If alpha,betagamma are the roots of the equation x^3+px^2+qx+r=0, then...

    Text Solution

    |

  5. if (x-a)(x-5)+2=0 has only integral roots where a in I , then value o...

    Text Solution

    |

  6. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  7. Find all values of p for which the roots of the equation (p-3)x^2-2px+...

    Text Solution

    |

  8. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R^...

    Text Solution

    |

  9. Let z be a complex number satisfying |z-1| le |z-3|, |z-3| le |z-5|, ...

    Text Solution

    |

  10. If a^3+b^3+6a b c=8c^3 & omega is a cube root of unity then: (a)a , b ...

    Text Solution

    |

  11. The image of a complex number z in the imaginary axis is (A) z (...

    Text Solution

    |

  12. If z1,z2,z3 are the vertices of the A B C on the complex plane and ar...

    Text Solution

    |

  13. If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b...

    Text Solution

    |

  14. if iz^(3) +z^(2) -z+i=0 , then show that |z| =1.

    Text Solution

    |

  15. Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...

    Text Solution

    |

  16. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. The greatest value of the modulus of the complex number ' z ' satisfyi...

    Text Solution

    |

  19. The set of points in an Argand diagram which satisfy both abs(z)le4 an...

    Text Solution

    |

  20. The number of solutions of z^3+ z =0 is (a) 2 (b) 3 (c) 4 (d) 5

    Text Solution

    |