Home
Class 12
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

  • 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

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-JEE MAINS-All Questions
  1. The solution set of x in (-pi,pi) for the inequality sin2x+1lt=cosx+2s...

    Text Solution

    |

  2. Solve the equation 12^x-56 x^2+89 x^2-56 x+12=0.

    Text Solution

    |

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

    Text Solution

    |

  4. The ratio of the roots of the equation x^(2)+alphax+alpha+2=0 is 2. fi...

    Text Solution

    |

  5. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

    Text Solution

    |

  6. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2...

    Text Solution

    |

  7. The equation of perpendicular bisectors of the sides AB and AC of a tr...

    Text Solution

    |

  8. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

    Text Solution

    |

  9. In a parallelogram as shown in the figure (a != b) Prove that the ...

    Text Solution

    |

  10. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  11. If g(x)=2f(2x^(2)-3x^(2))+f(6x^(2)-4x^(3)-x), AA x in R and f''(x) gt ...

    Text Solution

    |

  12. Sum of roots of equations f(x) - g(x)=0 is (a)0 (b) 2alpha (c) -2al...

    Text Solution

    |

  13. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  14. Let f(x)= x^2+2ax+b, g(x)=cx^2+2dx+1 be quadratic equation whose grap...

    Text Solution

    |

  15. Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1 be quadratic expressions whose g...

    Text Solution

    |

  16. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  17. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  18. If If {:(" ""x"),(y=""),(" ""x"),(" ""a+")...

    Text Solution

    |

  19. int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx is equal to

    Text Solution

    |

  20. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

    Text Solution

    |