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in Mathematics by (53.1k points)

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 of k is given by

(A)  {0,2}

(B)  {-1,3}

(C)  {-3,-2}

(D)  {1,3}

1 Answer

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by (53.3k points)
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Best answer

Correct option  (B)  {-1,3}

Explanation :

See Fig. Since BC is horizontal line (y = 1) and AB is perpendicular to BC, it follows that AB is a vertical line passing through B(1, 1). Hence, h = 1.

Therefore

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