Find the values of k, Mathematics

If the vertices of a triangle are (1, k), (4, -3), (-9, 7) and its area is 15 sq units, find the value(s) of k..                                                                                                                                                      [Ans: -3 ,21/13 ]

Ans:    A(1, k)             B(4, -3)            C(-9, 7)

Area of Δ ABC =1/2 [x1(y2 -y1 )+x2 (y3 -y1 ) + x1 (y1 -y2 )]

= 1/2 [1(-3-7)+4(7-k)+(-9)(k+3)] = 15

-10 + 28 - 4k - 9k - 27 = 30

- 9 - 13k = 30            ⇒        k = -3

| -9 - 13k | = 30

9 + 13k = 30

k = 21/13

k = -3, 21/13

 

 

Posted Date: 4/10/2013 2:33:17 AM | Location : United States







Related Discussions:- Find the values of k, Assignment Help, Ask Question on Find the values of k, Get Answer, Expert's Help, Find the values of k Discussions

Write discussion on Find the values of k
Your posts are moderated
Related Questions
particular solution of equation y''''-3y''-4y=2sinx

The Rank Correlation Coefficient (R) Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among tw


if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 =>  1/x 2 +5x+6  = 2/ x 2 +8x +15 =>  On solving we get x

For inequalities we contain a similar notation.  Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus


Discuss comparative statics,Market model and Nationa income model

Suppose we are required to find the difference between 3abc and 7abc. We look at two scenarios. The value we would obtain by subtracting a larger quantity from th

draw the graph of following pair of linear equation:-2y=4x-6

I have a journal article in applied mathematics and want to analyze the solutions step by step. Is there anyone specialize in this file?