Home
Class 12
MATHS
Let the co-ordinates of the two points A...

Let the co-ordinates of the two points `A&B` be (1, 2) and (7, 5) respectively. The line `A B` is rotated through `45^0` in anti clockwise direction about the point of trisection of `A B` which is nearer to `Bdot` The equation of the line in new position is: `2x-y-6=0` (b) `x-y-1=0` `3x-y-11=0` (d) None of these

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

Let the coordinates of two points P and Q be (1, 2) and (7, 5) respectively. The line PQ is rotated thorugh 315^(@) is clockwise direction about the point of trisection of PQ which is nearer to Q. The equation of the line in the new position is

The line 3x-4y+7=0 is rotated through an angle (pi)/(4) in the clockwise direction about the point (-1,1). The equation of the line in its new position is

If the line x-y-2=0 is rotated through an angle (pi)/(12) in the clockwise direction about point P(5,3) and equation of line in new position is x-sqrt(3)y+k=0 ,then k is

The line joining the points A(2,0) and B(3,1) is rotated through an angle of 45^@ about A in the anticlock- wise direction The coordinates of B in the new position

A and B are the points (2, 0) and (0, 2) respectively. The coordinates of the point P on the line 2x+3y+1=0 are

Find the equation of the line passing through the points (–1, 1) and (2, –4). (a)5x+3y+2=0 (b)3x+6y=9 (c)4x-6y-8=0 (d)None of these

If a line joining two points A(2,0) and B(3,1) is rotated about A in anti-clockwise direction 15^(@) ,then the equation of the line in the new position is

A line through the point A(2,0) which makes an angle of 30^(@) with the positive direction of X-axis is rotated about A in clockwise direction through an angle of 15^(@) . Then, the equation of the striaght line in the new position is

RESONANCE DPP-JEE MAINS-All Questions
  1. If the normal to differentiable curve y = f(x) at x = 0 be given by th...

    Text Solution

    |

  2. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  3. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  4. int\ (x+1)/(x(1+x \ e^x)^2) \ dx equals

    Text Solution

    |

  5. If (log)a b=2,(log)b c=2 and (log)3c=(log)3a+3, then (a+b+c) is equal ...

    Text Solution

    |

  6. Number of integral solutions of the equation (log)(x-3)((log)(2x^2-2x+...

    Text Solution

    |

  7. If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval ...

    Text Solution

    |

  8. If the matrix satisfies the equation [1-2 4 3]+2x=[2 1-2 0 1 3][3 2 1 ...

    Text Solution

    |

  9. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

    Text Solution

    |

  10. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  11. If A=" "{3," "5," "7," "9," "11} , B" "=" "{7," "9," "11 ," "13} , C" ...

    Text Solution

    |

  12. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is -6...

    Text Solution

    |

  13. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  14. Let N=(4^5+4^4+4^4+4^4)/(3^5+3^5+3^5)dot(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5...

    Text Solution

    |

  15. If | vec a|=2,| vec b|=5a n d vec adot vec b=0, then vec ax( vec ax( ...

    Text Solution

    |

  16. If x=(log)k b=(log)b c=1/2(log)c d , then (log)k d is equal to 6x (b)...

    Text Solution

    |

  17. If f(x)=x^3+b x^2+c x+d and 0<b^2<c , then f(x) is a strictly increasi...

    Text Solution

    |

  18. The number of solution of the equation, log(-2x)=2"log"(x+1) is: zero ...

    Text Solution

    |

  19. Let vec a=2 hat i+ hat j+ hat k , hat b= hat i+2 hat j- hat k and a ...

    Text Solution

    |

  20. If (log)3x=a and (log)7x=b , then which of the following is equal to (...

    Text Solution

    |