Home
Class 12
MATHS
Line L has intercepts a and b on the co...

Line `L` has intercepts `a and b` on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line `L` has intercepts `p and q.` Then

A

`a^(2)+b^(2)=p^(2)+q^(2)`

B

`(1)/(a^(2))+(1)/(b^(2))=(1)/(p^(2))+(1)/(q^(2))`

C

`a^(2)+p^(2)=b^(2)+q^(2)`

D

`(1)/(a^(2))+(1)/(p^(2))=(1)/(b^(2))+(1)/(q^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 7

    NTA MOCK TESTS|Exercise MATHEMATICS - Subjective Numerical|5 Videos

  • JEE MOCK TEST 9

    NTA MOCK TESTS|Exercise MATH|25 Videos

Similar Questions

Explore conceptually related problems

Line L has intercepts a and b on the coordinate axes. When, the axes area rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q , then

Line L has intercepts aa n db on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts pa n dqdot Then (a) a^2+b^2=p^2+q^2 (b)1/(a^2)+1/(b^2)=1/(p^2)+1/(q^2) (c)a^2+p^2=b^2+q^2 (d) 1/(a^2)+1/(p^2)=1/(b^2)+1/(q^2)

A line has intercepts a and b on the coortdinate axes.When the axes are rotateed through an angle alpha, keeping the origin fixed, the line makes equal intercepts on the coordinate axes,then tan alpha=

The line L has intercepts a and b on the coordinate axes. The coordinate axes are rotated through a fixed angle, keeping the origin fixed. If p and q are the intercepts of the line L on the new axes, then (1)/(a^(2))-(1)/(p^(2))+(1)/(b^(2))-(1)/(q^(2)) is equal to

Thu Line L has intercept a and b on the co- ordinate axes.When keeping the origin fixed, the coordinate axis are rotated around a fixed angle,then the line has intercepts p and q on rotate axis,then

Let L be the line 2x+y=2. If the axes are rotated by 45^(@) without transforming the origin ,the intercepts made by line L on the new are

Find the equation of a line making intercept 4 and 5 on the coordinate axes .

A line AB makes intercepts of length a and b on the coordinate axes. Find the equation of the parabola passing through A, B and the origin if AB is the shortest focal chord of the parabola.

NTA MOCK TESTS-JEE MOCK TEST 8-MATHEMATICS
  1. If f(x)=2x-sinx, f:RrarrR and g(x)=x^((1)/(3)), g:RrarrR, then

    Text Solution

    |

  2. General solution of the equation tan^(2)theta+sec2theta=1 is

    Text Solution

    |

  3. 2^(n) lt n! holds for

    Text Solution

    |

  4. The relation tan^(-1)((1+x)/(1-x))=(pi)/(4)+tan^(-1)x holds true for a...

    Text Solution

    |

  5. Line L has intercepts a and b on the coordinate axes. When the axes a...

    Text Solution

    |

  6. A chimeny of 20 m height standing on the top of a building subtends an...

    Text Solution

    |

  7. The value of the integral int(-a)^(a)(e^(x))/(1+e^(x))dx is

    Text Solution

    |

  8. The function x^(5)-5x^(4)+5x^(3)-1 is

    Text Solution

    |

  9. Find the order and degree of the following differential equation: (d^2...

    Text Solution

    |

  10. A and B are two given matrices such that the order of A is 3 xx 4 if ...

    Text Solution

    |

  11. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

    Text Solution

    |

  12. The variance of the numbers 2, 3, 11 and x is (49)/(4), then the value...

    Text Solution

    |

  13. If n is an even positive integer greater than 1 and x gt0, then the ...

    Text Solution

    |

  14. If f(x)={((sqrt(g(x))-1)/(sqrtx-1)"," , x ne 1),(1",",x=1):} and g'(1)...

    Text Solution

    |

  15. Let two numbers have arithmatic mean 9 and geometric mean 4.Then these...

    Text Solution

    |

  16. If two point P and Q are on the curve y=2^(x+2), such that vec(OP).hat...

    Text Solution

    |

  17. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

    Text Solution

    |

  18. Show that if iz^3+z^2-z+i=0, then |z|=1

    Text Solution

    |

  19. The graph of the antiderivative of f(x)=xe^((x)/(2)) passes through (...

    Text Solution

    |

  20. The value of positive real parameter 'a' such that area of region boun...

    Text Solution

    |