Home
Class 12
MATHS
If the equation of the hypotenuse of a r...

If the equation of the hypotenuse of a right - angled isosceles triangle is `3x+4y=4` and its opposite vertex is (2, 2), then the equations of the perpendicular and the base are respectively

A

`7x+y=16&x-7y+12=0`

B

`7x-y=12&x+7y=16`

C

`5x+y=12& x-5y+8=0`

D

`x+5y=12 & 5x-y=8`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 49

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 51

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If (2,4),(4,2) are the extremities of the hypotenuse of a right angled isosceles triangle,then the third vertex is

The hypotenuse of a right angled triangle has its ends at the points (1,3) and (4,1). Find the equation of the legs (perpendicular sides) of the triangle.

If (9,-9),(1,-3) are the end points of hypotenuse of a right angled isosceles triangle,then the third vertex is

The equation of the base of an equilateral triangle is x+y-2=0 and the opposite vertex his coordinates (2,-1). Find the area of he triangle.

A vertex of an equilateral triangle is (2,3) and the opposite side is x+y=2. Find the equations of other sides.

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

A side of an isosceles right angled triangle is x. Find its hypotenuse.

The equation of the base of an equilateral triangle is x+y=2 and its vertex is (2,-1). Find the length and equations of its sides.

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

NTA MOCK TESTS-NTA JEE MOCK TEST 50-MATHEMATICS
  1. If the coefficients of three consecutive terms in the expansion of (1+...

    Text Solution

    |

  2. The sum of the divisors of 9600 is

    Text Solution

    |

  3. If the equation of the hypotenuse of a right - angled isosceles triang...

    Text Solution

    |

  4. The equation k cos x-3sinx=k+1 is solvable only if

    Text Solution

    |

  5. If f(x)={{:(e^(2x^(2)+x),":",xgt0),(ax+b,":",xle0):} is differentiable...

    Text Solution

    |

  6. The equation of the circle which passes through the point A(0, 5) and ...

    Text Solution

    |

  7. A function f:ZrarrZ is defined as f(n)={{:(n+1,n in " odd integer"),((...

    Text Solution

    |

  8. The value of tan^(-1)[(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1...

    Text Solution

    |

  9. The negation of the statement ''If I will become famous then I will op...

    Text Solution

    |

  10. Let a continous and differentiable function f(x) is such that f(x) and...

    Text Solution

    |

  11. The value of int(1)/((2x-1)sqrt(x^(2)-x))dx is equal to (where c is th...

    Text Solution

    |

  12. Find the equation of the tangent to the parabola y^2 = 4x + 5 which is...

    Text Solution

    |

  13. The area of the smaller part of the circle x^(2)+y^(2)=2 cut off by th...

    Text Solution

    |

  14. If a and b are arbitrary constants, then the order and degree of the d...

    Text Solution

    |

  15. veca, vecb and vecc are coplanar unit vectors. A unit vector vecd is p...

    Text Solution

    |

  16. Direction cosines to the normal to the plane containing the lines (x)/...

    Text Solution

    |

  17. If alpha, beta and gamma are the roots of the equation x^(3)-3x^(2)+4x...

    Text Solution

    |

  18. For the equation (1-ix)/(1+ix)=sin.(pi)/(7)-i cos.(pi)/(7), if x=tan((...

    Text Solution

    |

  19. Shubham has 75% chance of attending the annual meet. Shikha has a 90% ...

    Text Solution

    |

  20. Let A and B be two matrices such that the order of A is 5xx7. If A^(T)...

    Text Solution

    |