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  • Two points A and B are in the first quadrant and O is the origin if the slope of OA is 1 the slope of OB is 7, and the length of OA is equal to the length of OB is equal to root 50 then the slope of AB is

Two points A and B are in the first quadrant and O is the origin if the slope of OA is 1 the slope of OB is 7, and the length of OA is equal to the length of OB is equal to root 50 then the slope of AB is

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For OA,Slope=1(Given)
angle=arctan 1=45
X-coordinate of point A =sqrt50cos (45)=sqrt50*frac1sqrt2=sqrt25=5
Y-coordinate of point A=sqrt50sin (45)=sqrt50*frac1sqrt2=sqrt25=5
Point A is (5,5)
For OB,Slope=7(Given)
angle=arctan 7=81.91
X-coordinate of point A=sqrt50cos(81.91)=1
Y-coordinate of point A=sqrt50sin(81.91)=7
Point B is (1,7)
Slope of Line AB is=fracx_2-x_1y_2-y_1frac7-51-5=frac2-4=-frac12

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Deependra Verma

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