Q. 154.8( 4 Votes )

For what value of k do the equations kx – 2y = 3 and 3x + y = 5 represent two lines intersecting at a unique point?
A. k = 3

B. k = – 3

C. k = 6

D. all real values except – 6

Class 10th RS Aggarwal - Mathematics 3. Linear Equations in Two Variables

Answer :

We have,

kx – 2y – 3 = 0

And, 3x + y – 5 = 0

Here, a₁ = k, b₁ = – 2 and c₁ = – 3

a₂ = 3, b₂ = 1 and c₂ = – 5

∴

And,

We know that, for these graphs intersect at a unique point we must have:

Hence, the lines of the graph will intersect at all real values of k except – 6

Thus, option D is correct

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PREVIOUSIf the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel then the value of k is NEXTThe pair of equations x + 2y + 5 = 0 and – 3x – 6y + 1 = 0 has

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For what value of k do the equations kx – 2y = 3 and 3x + y = 5 represent two lines intersecting at a unique point? A. k = 3B. k = – 3C. k = 6D. all real values except – 6

For what value of k do the equations kx – 2y = 3 and 3x + y = 5 represent two lines intersecting at a unique point?
A. k = 3

B. k = – 3

C. k = 6

D. all real values except – 6