Home
Class 11
MATHS
The coordinate axes are roted about the ...

The coordinate axes are roted about the origin O in the counterclockwise direction through an angle `60^(@)`. If p and q are the intercepts made on the new axes by a straight line whose equation refered to the original axes is `x+y=1` then `1//p^(2)+1//q^(2)=`

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE I|57 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 coordinate axies are rotated about the origin O in the counterclock wise direction through an angle 60^@ . If p and q are the intercepts made on the new axes by a straight line whose equation refered to the original axes is x+y =1 then 1//p^2+1//q^2 =

If the axes are translated to the point P(3,4) and then rotated through an angle 120^(0) about P. Then find the new coordinates of the point whose original coordinates are (1, -1)

If the coordinates of a point P changes to (2,-6) when the coordinate axes are rotated through an angle of 135^(@) , then the coordinates of P in the original system are

The coordinate axes are rotated through an angle 135^(@) . If the coordinates of a point P in the new system are known to be (4,-3) , then the coordinates of P in the original system are

The coordinate axes are rotated the throughan angle 135^(0) . If the coordinates of a point P in the new system are known to be (4,-3) then the coordinates P in the original system are

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

When the coordinate axes are rotated by an angle tan^(-1) ((3)/(4)) about the origin, then the equation x^(2) + y^(2) =9 is transformed to the equation.

AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. If P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9, then t...

    Text Solution

    |

  2. If the base of an isosceles triangle is of length 2P and the length of...

    Text Solution

    |

  3. The coordinate axes are roted about the origin O in the counterclockwi...

    Text Solution

    |

  4. If p(1),p(2) are the perpendicular distance from the origin to the two...

    Text Solution

    |

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

    Text Solution

    |

  6. If p and q are the perpendicular distances from the origin to the stra...

    Text Solution

    |

  7. If a line I passes through (k, 2k), (3k , 3k) and (3,1), k ne 0, then ...

    Text Solution

    |

  8. If the points (1,2) and (3,4) were to be on the opposite side of the l...

    Text Solution

    |

  9. Let O be the origin A(3, -2), B(1, 2) and C(1, 1). The pair of points ...

    Text Solution

    |

  10. A line L cuts the sides AB, BC of Delta ABC in the ratio 2:5, 7:4 res...

    Text Solution

    |

  11. Let ABC be a triangle. If P is a point such that AP divides BC in the ...

    Text Solution

    |

  12. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

    Text Solution

    |

  13. The equation of the straight line passing through the point of interse...

    Text Solution

    |

  14. The point of intersection of the diagonals of the rhombus formed by th...

    Text Solution

    |

  15. Find the equations of the line passing through the point of intersecti...

    Text Solution

    |

  16. The equation of the one passing through the point of intersection of t...

    Text Solution

    |

  17. The lines 2x+y-1=0, ax+3y-3=0, 3x+2y-2=0 are cuncurrent

    Text Solution

    |

  18. If a ne b ne c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent ...

    Text Solution

    |

  19. If the lines a(1)x+b(1)y=1,a(2)x+b(2)y=1,a(3)x+b(3)y=1, are concurrent...

    Text Solution

    |

  20. If the lines x+ay=a=0, bx+y+b=0, cx+cy+1=0 (a,b,c being distinct and !...

    Text Solution

    |