Home
Class 12
MATHS
Let A (-2, 0) and B(2, 0), then the numb...

Let A (-2, 0) and B(2, 0), then the number of integral values of a, `a in [-10, 10] for which line segment AB subtends an acute angle at point C (a, a+1) is

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

The point at which the line segment joining A(1, 1) and B (5, 5) subtends an obtuse angle is

A and B are two fixed points and the line segment AB always subtends an acute angle at a variable point P .Show that the locus of the point P is a circle.

P and Q are two points on a line passing through (2,4) and having slope m.If a line segment AB subtends a right angles at P and Q,where A(0,0) and B(6,0), then range of values of m is

Find the locus of a point at which the angle subtended by the line segment joining (1, 2) and (-1, 3) is a right angle.

If A(0,0),B(1,0) and C((1)/(2),(sqrt(3))/(2)) then the centre of the circle for which the lines AB,BC,CA are tangents is

Find the value of a,for which point P((a)/(3),2) is the midpoint of the line segment joining the points Q(-5,4) and R(-1,0)

Number of integral values of x which satisfies ((x-5)(x-8))/(x-10)<=0 and 2<=x<=10 is

Find the locus of a point such that the line segments having end points (2,0) and (-2,0) subtend a right angle at that point.

Let (1,2,0) , B(2,0,4) , C (1,1,2) & D(0,1,3) be four points in space then the length of projection of line segment AB on the line C D is

RESONANCE DPP-JEE MAINS-All Questions
  1. The base of triangle passes through a fixed point (f,g) and its other ...

    Text Solution

    |

  2. Sn=3/(1^2)+3/(1^2+2^2)+7/(1^2+2^2+3^2)+ upto n terms, then Sn=(6n)/(n+...

    Text Solution

    |

  3. Let A (-2, 0) and B(2, 0), then the number of integral values of a, a ...

    Text Solution

    |

  4. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  5. [2x]-2[x]=lambda where [.] represents greatest integer function and {....

    Text Solution

    |

  6. If 2a+b+3c=1a n da >0,b >0,c >0, then the greatest value of a^4b^2c^2 ...

    Text Solution

    |

  7. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  8. Solve |(x^2-5x+4)/(x^2-4)|<=1

    Text Solution

    |

  9. A square matrix B is said to be an orthogonal matrix of order n if BB^...

    Text Solution

    |

  10. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  11. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

  12. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  13. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  14. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  15. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

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

    Text Solution

    |

  17. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  18. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |

  19. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |

  20. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |