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$T h e l e n g t h o f t h e a l t i t u d e t h r o g u h A o f t h e t r i a n g l e A B C w h e r e A (- 3, 0), B (4, - 1), C (5, 2) i s \frac{22}{\sqrt{k}} t h e n k =$

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a

10

b

5

c

10

d

5

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detailed solution

Correct option is A

Equation of the line joining the points B and C is y-y1=m(x-x1) y+1=3(x-4)⇒y+1=3x-12⇒3x-y-13=0 The length of the altitude from A to the line BC is the pependicular distance from A to the line BC it is equal to ax1+by1+ca2+b2=3-3-10-139+1=2210Comparing the altitude length with 22k, k =10

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