CLASS X PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
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1
Find k for which the system x + 2y = 3 and 5x + ky + 7 = 0 is inconsistent.
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2
For which value(s) of p, will the lines represented by the following pair of linear equations be par
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3
If x = a, y = b is the solution of the equations x-y = 2 and x + y = 4 then the value of a and b are
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4
Find c if the system of equations cx+3y+(3−c)=0;12x+cy−c=0 has infinitely many solutions?
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5
Find the value of k, the following pair of linear equations have infinitely many solutions. 2x+3y=7,
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6
Find the value of k so that the pair of equations x+2y=5 and 3x+ky+15=0 has a unique solution
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7
For what value of p will the following pair of linear equation have infinitely many solution- (p-3)
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8
For what value of k, will the following pair of equations have infinitely many solutions :
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9
Find the value(s) of k for which the pair of linear equations kx+y=k2 and x+ky=1 have infinitely man
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10
Given the linear equation 3x + 4y = 9. write another linear equation in these two variables such tha
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11
Find whether the lines represented by 2x + y = 3 and 4x + 2y = 6 are parallel, coincident or interse
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12
Sumit is 3 times as old as his son. Five years later, he shall be two and a half times as old as his
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13
solve the following simultaneous equations for x and y 3X-5Y=4, 9X-2Y=7
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14
The incomes of two persons 𝐴 and 𝐵 are in the ratio 8: 7, the ratio of their expenditures is 19: 16.
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