Question

Show that the lines x - 7y - 22 = 0, 3x + 4y + 9 = 0 and 7x + y - 54 = 0 form a right angled isosceles triangle

Answer 1

Answer:

i) θ=-π4

∴ Slope of the line=m=tanθ⇒Slope of the line=tan-π4=-tanπ4=-1

Hence, the slope of the line is -1.

(ii) θ=2π3

∴ Slope of the line=m=tanθ⇒Slope of the line=tan2π3=-tanπ3=-3

Hence, the slope of the line is -3.

(iii) θ=3π4

∴ Slope of the line=m=tanθ⇒Slope of the line=tan3π4=-tanπ4=-1

Hence, the slope of the line is -1.

(iv) θ=π3

∴ Slope of the line=m=tanθ⇒Slope of the line=tanπ3=3

Explanation:

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