The points \left(\right. 10 , 7 , 0 \left.\right), \left(\right. 6 , 6 - 1 \left.\right) and \left(\right. 6 , 9 ,

Engineering

Mathematics

Line of Greatest Slope

Question

The points

(10, 7, 0)

(6, 6 - 1)

and

(6, 9, - 4)

form a

Right -angled triangle

Isosceles triangle

Both

(1)

(2)

Equilateral triangle

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P (10, 7, 0), Q (6, 6, - 1), R (6, 9, - 4)

P Q = \sqrt{4^{2} + (- 1)^{2} + (- 1)^{2}}

= \sqrt{16 + 1 + 1} = 3 \sqrt{3}

Q R = \sqrt{0^{2} + 3^{2} + - 3^{2}}

P R = \sqrt{4^{2} + 2^{2} + (- 4)^{2}}

= \sqrt{16 + 4 + 16} = 6

P Q^{2} + Q R^{2} = (3 \sqrt{2})^{2} + (3 \sqrt{2})^{2} = 6^{2} = P R^{2}

∴ △ P Q R

is a right angle

D

Q, P Q = Q R

△ P Q R

is a isoscels traingle

(C)

Both

(1)

(2)

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