Home
Class 12
MATHS
If alpha,alpha^2) falls inside the angle...

If `alpha,alpha^2)` falls inside the angle made by the lines `2y=x ,x >0&y=3x ,x >0,` then the set of values of `alpha` is `(-oo,3)` (b) `(1/2,3)` `(0,3)` (d) `(-oo,0)uu[1/2,oo]`

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,a^(2)) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y=3x, x gt 0 , then a belongs to the interval

If (t, t^(2)) falls inside the angle made by the lines y = x//2, x gt 0 and y = 3x, x gt 0, where t in (a, b) then find the value of 2a + b .

If a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0, then the set of values of a is (A) (-oo,3)uu((9)/(2),oo) (B) (3,(9)/(2)) (B) (-oo,3) (D) ((9)/(2),oo)

f(x) = x^2 increases on: (a) ( 0,oo) (b) (-oo,0) (c) (-7,-3) (d) (-oo,-3)

Statement 1: The value of alpha for which the point (alpha,alpha^(2)) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1) .Statement 2: The parabola y=x^(2) meets the linex +y=2 at (0,1) .

If the point (1,a) lies in between the lines x+y=1 and 2(x+y)=3 then a lies in (i)(-oo,0)uu(1,oo)(ii)(0,(1)/(2))(iii)(-oo,0)uu((1)/(2),oo)(iv) none of these

The range of value of alpha such that (0,alpha) lies on or inside the triangle formed by the lines y+3x+2=0,3y-2x-5=0,4y+x-14=0 is

Consider the Delta formed by the lines y+3x+2=0 , 3y-2x-5=0,4y =0 The point (alpha,2) lies inside the Delta .The number of integral values of alpha is

If 0ltalphaltpi/4 then the range of cosec 2alpha-cot 2alpha is (A) (0,1) (B) [1,oo) (C) RR (D) [0,oo)

RESONANCE DPP-JEE MAINS-All Questions
  1. The equation of the circle of radius 5 in the first quadrant which ...

    Text Solution

    |

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

    Text Solution

    |

  3. If alpha,alpha^2) falls inside the angle made by the lines 2y=x ,x >0&...

    Text Solution

    |

  4.   (2sec theta+3 tan theta+5 sin theta -7cos theta+5)/(2tan theta+3 s...

    Text Solution

    |

  5. If A and B are symmetric matrices then A B-B A is a Symmetric Matrix ...

    Text Solution

    |

  6. If a ,b ,c are real numbers satisfying the conditgion a+b+c=0, then th...

    Text Solution

    |

  7. If x1, x2& x3 are three distinct numbers which satisfy the relation ...

    Text Solution

    |

  8. The solution set of the inequality (3^x-4^x)/(x^2-3x-4)geq0i s

    Text Solution

    |

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

    Text Solution

    |

  10. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

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

    Text Solution

    |

  12. Let y=1/(2+1/(3+1/(2+1/(3+)))) , then the value of y is (a)(sqrt(1...

    Text Solution

    |

  13. Consider a function f(x):R(R)R and if (lim)(xveca)[f(x)] does not exis...

    Text Solution

    |

  14. Number of integers satisfying the inequation (x^2-x-1)(x^2-x-7)<-5, ar...

    Text Solution

    |

  15. If the quadratic equations, a x^2+2c x+b=0a n da x^2+2b x+c=0(b!=c) ha...

    Text Solution

    |

  16. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

    Text Solution

    |

  17. Domain of f(x)=sin^(-1)[2-4x^2], where [.] denotes the greatest intege...

    Text Solution

    |

  18. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

    Text Solution

    |

  19. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-2)((2x)/(...

    Text Solution

    |

  20. Consider the inequations: ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)...

    Text Solution

    |