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

Text Solution

AI Generated Solution

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

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

The line 2x-y = 5 turns about the point on it, whose ordinate and abscissae are equal through an angle of 45^@ in the anti-clockwise direction. Find the equation of the line in the new position.

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

Find the co-ordinates of the point of intersection of the straight lines 2x-3y-7=0 , 3x-4y-13=0

Let L be the line 2x+y-2=0 . The axes are rotated by 45^@ in clockwise direction then the intercepts made by the line L on the new axes are respectively

Find the co-ordinates of the point of intersection of the straight lines 3x-5y+5=0, 2x+3y-22=0

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is

A line passing through the point A(3,0) makes 30^0 angle with the positive direction of x- axis . If this line is rotated through an angle of 15^0 in clockwise direction, find its equation in new position.

Find the equation of the line through the point of intersection of x+2y=5 and x-3y=7 and passing through the point (0, -1)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

    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. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

  5. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

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

    Text Solution

    |

  7. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

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

    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 = {11 , 13 , 15}andD = ...

    Text Solution

    |

  12. The value of expression, log4((x^2)/4)-2log4(4x^4) when x=-2 is (a)-6...

    Text Solution

    |

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

    Text Solution

    |

  14. Let N=(4^5+4^5+4^5+4^5)/(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 a x ( 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)+bx^(2)+cx+d and 0lt b^(2)ltc then in (-oo,oo)

    Text Solution

    |

  18. The number of solution of the equation log(-2x)= 2 log(x+1) are

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |