Home
Class 12
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:
1
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|168 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos
  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 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.

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. The equation of the line whose x-intercept is -3//7 and which is perpe...

    Text Solution

    |

  2. The distance between the parallel lines 5x+2y+7=0 and 5x+2y+4=0 is

    Text Solution

    |

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

    Text Solution

    |

  4. The sides of a triangle are 3x+2y-6=0, 2x-3y+6=0, x+2y+2=0. P(0,b) is ...

    Text Solution

    |

  5. A straight line through the point (2, 2) intersects the lines sqrt(3)x...

    Text Solution

    |

  6. A straight line L is perpendicular to the line 5x-y=1. The area of the...

    Text Solution

    |

  7. Each sides of a square is of lemgth 4 units. The centre of the square ...

    Text Solution

    |

  8. A(-1, 1), B(5, 3) are opposite vertices of a square. The equation of t...

    Text Solution

    |

  9. (-4,5) is a vertex of a square and one of its diagonals is 7x-y+8=0. F...

    Text Solution

    |

  10. If A(1, 1), B(sqrt(3)+1,2) and C(sqrt(3), sqrt(3)+2) be three vertice...

    Text Solution

    |

  11. In a rhombus ABCD the diagonals AC and BD intersect at the point (3, 4...

    Text Solution

    |

  12. Points A(1, 3) and C(5, 1) are oppsite vertices of a rectangle ABCD. I...

    Text Solution

    |

  13. If the straight lines y=4-3x, ay=x+10, 2y+bx+9=0 represent the three c...

    Text Solution

    |

  14. If the lines y=4-3x,ay=x+10, 2y+bx+9=0 form three sides of the rectang...

    Text Solution

    |

  15. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  16. The points (1, 3) and (5, 1) are two opposite vertices of a rectangle....

    Text Solution

    |

  17. The points (1, 6) and (12, 9) are two opposite vertices of a parallelo...

    Text Solution

    |

  18. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

  19. Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centro...

    Text Solution

    |

  20. A(2, 3), B(3, -5) are two vertices of DeltaABC. C is a point the line ...

    Text Solution

    |