Home
Class 12
MATHS
A line x+3y=12 cuts the xa n dy axis in ...

A line `x+3y=12` cuts the `xa n dy` axis in `Aa n dB` respectively. If `Pa n dQ` being the points of trisection of `A B(P` being closer to `A)` and `m_1,m_2` are the slope of the lines `O P` and `O Q` respectively `(' O '` is the origin), then `m_2=2m_1` (b) `m_2=3m_1` `m_2=4m_1` (d) `m_2=5m_1`

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 m_1 and m_2 are the slopes of the lines represented by ax^(2)+2hxy+by^(2)=0 , then m_1+m_2=

If m_(1) and m_(2) are the slopes of tangents to x^(2)+y^(2)=4 from the point (3,2), then m_(1)-m_(2) is equal to

Let OAB be a regular triangle with side length unity (O being the origin), Also M,N are the trisection of AB, M being closer to A and N closer to B. Position vectors of A, B, M and N are hata, hatb, hatm, hatn respectively Which of the following hold(s) good?

The slope of graph as shown in figure at points 1, 2 and 3 is m_1, m_2 and m_3 respectively then

If m_1 is the slope of line joining the points (-2,-1), (3,-2) and m_2 is the slope of points (3,-1), (4,-6) find m_1:m_2

If in the expansion f (1+x)^m(1-x)^n, the coefficient of x and x^2 are 3 and -6 respectively then (A) m=9 (B) n=12 (C) m=12 (D) n=9

Let A D be a median of the A B Cdot If A Ea n dA F are medians of the triangle A B Da n dA D C , respectively, and A D=m_1,A E=m_2,A F=m_3, then(a^2)/8 is equal to (a)m_2^2+m_3^2-2m_1^2 (b) m_1^2+m_2^2-2m_3^2 (c)m_1^2+m_3^2-2m_2^2 (d) none of these

O P Q R is a square and M ,N are the middle points of the sides P Qa n dQ R , respectively. Then the ratio of the area of the square to that of triangle O M N is 4:1 (b) 2:1 (c) 8:3 (d) 7:3

The slope of graph as shown in figure at points 1,2 and 3 is m_(1), m_(2) and m_(3) respectively then

Let m ,n are integers with 0

RESONANCE DPP-JEE MAINS-All Questions
  1. If A , B , C , D are the angles of a quadrilateral, then (tanA+tanB+...

    Text Solution

    |

  2. The point in the interval (0,2pi) where f(X) =e^(x) sinx has maximum s...

    Text Solution

    |

  3. A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n ...

    Text Solution

    |

  4. If f is real-valued differentiable function such that f(x)f'(x)<0 for...

    Text Solution

    |

  5. The line 2x+3y=12 meets the x-axis at A and the y-axis at B . The line...

    Text Solution

    |

  6. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  7. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

    Text Solution

    |

  8. If a vector vecr of magnitude 3sqrt6 is directed along the bisector of...

    Text Solution

    |

  9. Solve: (tanx-1/(sqrt(3)))(cosx-1/2)geq0

    Text Solution

    |

  10. vec a and vec b are two non-collinear unit vectors vec a,vec b, x vec ...

    Text Solution

    |

  11. Set of all values of x satisfying the inequality |2x^2-4x-7|<[1+1/2((...

    Text Solution

    |

  12. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  13. Let ' n ' is the number of ordered pair (x ,y) satisfying the system o...

    Text Solution

    |

  14. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |

  15. S straight line with slope 2 and y-intercept 5 touches the circle x^2+...

    Text Solution

    |

  16. The function g(x) =[ x+b, x < 0; cos x, x >= 0, can be made differenti...

    Text Solution

    |

  17. The difference between the greatest and least value of function f(x)=c...

    Text Solution

    |

  18. Comprehension (Q. No. 6 to Q. No. 8) Let (x1, y1)&(x2, y2) are the sol...

    Text Solution

    |

  19. The incorrect statement is pvecq is logically equivalent to ~ pvvqdot ...

    Text Solution

    |

  20. The equation 8sinx=(sqrt(3))/(cosx)+1/(sinx), has (a)General solutio...

    Text Solution

    |