Challenger App

No.1 PSC Learning App

1M+ Downloads
The value of k for which the points (2,-3),(4,3) and (5,k are on the same straight line is :

A2

B4

C6

D8

Answer:

C. 6

Read Explanation:

Eqn of the line by

yy1xx1=y2y1x2x1\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}

y+3x2=3+342\frac{y+3}{x-2}=\frac{3+3}{4-2}

y+3x2=62\frac{y+3}{x-2}=\frac{6}{2}

(y+3)=3(x2)(y+3)=3(x-2)

3x6=(y+3)3x-6=(y+3)

3xy=93x-y=9

3×5k=93\times 5 -k =9

15k=915-k=9

k=6-k=-6

k=6k=6


Related Questions:

If x2+1/x2=66 x^2+1/x^2=66 findx1/xx-1/x

A square ground has 2 meter wide path all around it. The total area of the ground and the path is 1225 square meters. What is the area of the ground alone ?
The factors of x³-4x²+x+6 is :

x1x=3x-\frac{1}{x}=3 then x31x3=x^3-\frac{1}{x^3}=

If p : q = r : s , s = 4p² and 2qr = 64, then find the value of 2p + 3s