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Condition for a Conic to Be a Pair of Straight Lines

For what valu...

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For what value of k will the system of equations x + 2y = 5 and 3x + ky - 15 = 0 has (i) a unique solution and (ii) no solution?

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Q. For what value of k, the system of equations

x + 2 y = 5

3 x + k y - 15 = 0

has a unique solution?

Q. For what value of k, the system of equations

x + 2 y = 5

3 x + k y - 15 = 0

has no solution?

Q. For what value of

K

, the following system of equations has a unique solution.

x - K y = 2

3 x + 2 y = - 5

Find the value of

k

for which the given system of equations has a unique solution:

x - k y = 2

3 x + 2 y = - 5

Q. Find the value of

k

for which the system

k x + 2 y = 5

3 x + y = 1

has (i) a unique solution and (ii) no solution.

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Condition for a Conic to Be a Pair of Straight Lines

Standard XII Mathematics

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