Home
Class 11
MATHS
The line joining the points A(3,0) and B...

The line joining the points A(3,0) and B(5,2) is rotated about A in the anticlock wise direction through an angle of `15^@` If B goes to C in the new position now the line joining A and C is rotated about A in the anticlock wise direction through an angle of `45^@` of C goes to D in the new position, then the coordinate of D are

A

`(4-sqrt3,sqrt3-1)`

B

`(4+sqrt3,sqrt3-1)`

C

`(4-sqrt3,sqrt3+1)`

D

`(4+sqrt3,sqrt3+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II Problems on normal form, symmetric from, perpendicular distances and Ratio) (LEVEL - II More than One correct answer Type Quesions)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II Problems on normal form, symmetric from, perpendicular distances and Ratio) (LEVEL - II Integer Type Questions)|2 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas(level-II)(Integer Type Question)|3 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

The line joining two points A(2,0),B(3,1) is rotated about A in anti clock wise direction through an angle 15^(@) .If B goes to C then C=

The line joining two points A(2,0), B(3,1) is rotated about A in anticlockwise direction through an angle 15^(@) . If B goes to C then C=

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

The line segment joinign A(3,0),B(5,2) is rotated about a point A in anticlockwise sense through an angle (pi)/4 and B move to C.If a point D be the reflection of C in -axis, then D=

The d.c.'s of the line joining the points A(4, 3, 1), B(-2, 1, -2) are

A plane passing through the line joining the points A(1, -3, 5) and B(4, 1, -1) is turned about AB till it passes through the origin. The equation of the plane in the new position is

If the axes are rotated through an angle 45^(0) in the anti-clockwise direction, the coordinates of (sqrt(2), - sqrt(2)) in the new system are

Show that the line joining the points A(2,3,-1) and B(3,5,-3) is perpendicular to the line joining C(1,2,3) and D(3,5,7) .

AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET (EXERCISE-II Problems on normal form, symmetric from, perpendicular distances and Ratio) (LEVEL - I Straight objective Type Question)
  1. The equation of the line whilch is 10 units from the origin and the no...

    Text Solution

    |

  2. A straight line makes an angle (pi)/3 with positive direction of x-axi...

    Text Solution

    |

  3. The line joining the points A(3,0) and B(5,2) is rotated about A in th...

    Text Solution

    |

  4. The equation of a line passing through the point (3,2) and cutting an ...

    Text Solution

    |

  5. The point p(1,1) is translated parallel to 2x=y in the first quadrant ...

    Text Solution

    |

  6. The distance of the point (3,5) from the line 2x+3y-14=0 measured parl...

    Text Solution

    |

  7. In DeltaABC, B=(0,0), AB=2, angleABC=pi/3 and the middle point of BC h...

    Text Solution

    |

  8. Let f(x+y)=f(x).f(y) AA x,y in R. f(1)=2. " Area enclosed by " 3absx+...

    Text Solution

    |

  9. If a line passing through the point P(1,1) makes an angle theta with t...

    Text Solution

    |

  10. The line x/3+y/4=1 meets the axis of y and axis of x at A and B respec...

    Text Solution

    |

  11. p is the length of the perpendicular drawn from the origin upon a stra...

    Text Solution

    |

  12. If p and q are the prependicular distance from the origin to the strai...

    Text Solution

    |

  13. A straight line which makes equal intercepts on positive X and Y axes ...

    Text Solution

    |

  14. The algebraic sum of the perpendicular distances from A(x(1),y(1)),B(x...

    Text Solution

    |

  15. The coordinate axies are rotated about the origin O in the countercloc...

    Text Solution

    |

  16. The area (in square units) of the circle which touches the lines 4x+3y...

    Text Solution

    |

  17. Distance between the parallel line (x+2y)^2+13sqrt5(x+2y)+180=0 is

    Text Solution

    |

  18. The centroid of an equilateral triangle is (0,0). If two vertices of t...

    Text Solution

    |

  19. If a line l passes through (k,2k)(3k,3k) and (3,1), k ne0, then the di...

    Text Solution

    |

  20. One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2)...

    Text Solution

    |