InterviewSolution
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InterviewSolution
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(i) If the vertices of `Delta ABC` be A(1, -3), B(4, p) and C(-9, 7) and its area is 15 square units, find the value of p. (ii) The area of a triangle is 5sq units. Two of its vertices are (2, 1) and (3, -2). If the third vertex is `((7)/(2), y)`, find the value of y. 1 |
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Answer» Correct Answer - (i) p = -3 or p = -9 (ii) y = `(13)/(2)` (i) Taking `A(x_(1) = 1, y_(1) = -3), B(x_(2) = 4, y_(2) = p) "and" C(x_(3) = -9, y_(3) = 7)`, we get ar`(Delta ABC)= 15` sq units. `rArr (1)/(2)|x_(1)(y_(2) - y_(3)) + x_(2) (y_(3) - y_(1)) + x_(3) (y_(1) -y_(2))|= 15` `rArr |1 * (p-7) + 4 * (7+3) -9 * (-3-p)|= 30` `rArr |(p-7) + 40 + 27 + 9p| = 30 rArr |10p + 60| = 30` `rArr 10p + 60 = 30 "or" 10p + 60 = -30 rArr p = -3 "or" p = -9.` |
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