Unique point is obtained for the pair of equations a 1 x - b 1 y - c 1-0 and a 2 x - b 2 y - c 2-0 ifA- a 1 - a 2- b 1 - b 2- c 1 - c 2B- a 1 - a 2- b 1 - b 2- c 1 - c 2C- a 1 - a 2- b 1 - b 2- c 1 - c 2D- a 1 - a 2- b 1 - b 2

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Nature of 2 Straight Lines in a Plane

Unique point ...

Question

Unique point is obtained for the pair of equations $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 if

a₁/a₂ ≠ b₁/b₂ = c₁/c₂

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a₁/a₂ = b₁/b₂ ≠ c₁/c₂

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a₁/a₂ = b₁/b₂ = c₁/c2

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a₁/a₂ ≠ b₁/b₂

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Solution

The correct option is C
a₁/a₂ = b₁/b₂ = c₁/c2

The condition for obtaining unique point for the lines $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 is $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$ .

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Unique point is obtained for the pair of equations a1x + b1y + c1 = 0 and a2x +b2y + c2 = 0 if

The correct option is C a1/a2 = b1/b2 = c1/c2 The condition for obtaining unique point for the lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 is a1a2 = b1b2 = c1c2.

Unique point is obtained for the pair of equations $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 if

The correct option is C
a₁/a₂ = b₁/b₂ = c₁/c2

The condition for obtaining unique point for the lines $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 is $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$ .