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

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertices of an equilateral triangle.

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . The equation of altitude through B to side AC is

Show that the points (2,4,3),(4,1,9) and (10,-1,6) are the vertices of an isosceles right angled triangle.

If A(x_1,y_1),B(x_2,y_2),C(x_3,y_3) are the vertices of the triangle then find area of triangle

The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3). Find the lengths of the altitudes of the triangle.

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

Write the area of the triangle whose vertices are : (1, - 1), (2, 4) and (- 3, 5) :