Home
Class 12
MATHS
Let A(h, k), B(1, 1) and C(2, 1) be t...

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by (1) `{1,""3}` (2) `{0,""2}` (3) `{-1,""3}` (4) `{-3,-2}`

A

{1,3}

B

{0,2}

C

`{-1,3}`

D

`{-3,-2}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

Prove that the points (-3,0),(1,-3) and (4,1) are the vertices of an isosseles right- angled triangle.Find the area of this triangle.

Prove that (2,-2),(-2,1) and (5,2) are the vertices of a right angled triangle.Find the area of the triangle and the length of the hypotenuse.

If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delta ABC, then the triangle is

Let A(0, 1, 1), B(3, 1, 5) and C(0, 3, 3) be the vertices of a triangle ABC . Using vectors, show that triangle ABC is right angled at C.

Show that the points A(2,-1,3),B(1,-3,1) and C(0,1,2) are the vertices of an isosceles right angled triangle.

Show that the points (2,-1,3), (0,1,2) and (1,-3,1) are the vertices of an isosceles right angled triangle.

If A(0,1,2) B(2,-1,3) and C(1,-3,1) are the vertices of a triangle then the distance between circumcentre and orthocentre is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 4-MCQS
  1. If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l, then value of n is equal ...

    Text Solution

    |

  2. (p^^~q)^^(~p^^q) is

    Text Solution

    |

  3. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

    Text Solution

    |

  4. The equation of straight line passing through (-2,-7) and having an in...

    Text Solution

    |

  5. The line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y...

    Text Solution

    |

  6. एक रेखा, एक घन के विकर्णों के साथ alpha, beta, gamma, delta, कोण बन...

    Text Solution

    |

  7. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

    Text Solution

    |

  8. Prove that sin6^0sin42^0sin66^0sin78^0-1/(16)

    Text Solution

    |

  9. If y^2 = P(x) is polynomial of degree 3, then 2(d/dx)(y^3.d^2y/dx^2) i...

    Text Solution

    |

  10. If y is a function of xa n dlog(x+y)-2x y=0, then the value of y^(prim...

    Text Solution

    |

  11. int|x|log|x|dx is equal to (xne0)

    Text Solution

    |

  12. If int (sin2x-cos2x)dx=1/sqrt2sin(2x-a)+b then

    Text Solution

    |

  13. The parabola y^2 = 2x divides the circle x^2 + y^2 = 8 in two parts. T...

    Text Solution

    |

  14. The solution of the differential equation x^(4)(dy)/(dx)+x^(3)y+"cosec...

    Text Solution

    |

  15. The equation of curve in which portion of y-axis cutoff between origin...

    Text Solution

    |

  16. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  17. If sin^(-1)x+sin^(-1)y=(2pi)/3, then cos^(-1)x+cos^(-1)y is equal to

    Text Solution

    |

  18. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  19. If in a DeltaABC,a^(2)cos^(2)A=b^(2)+c^(2), then

    Text Solution

    |

  20. Four numbers are chosen at random from {1,2,3,......, 40}. The probabi...

    Text Solution

    |