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Pair of Liner Equation in Two Variable

 For  which  values  of  a  and  b,  will  the  following  pair  of  linear  equations  have infinitely many solutions?

x + 2y = 1

(a – b)x + (a + b)y = a + b – 2

Pair of Liner Equation in Two Variable

For which value(s) of k will the pair of equations

kx + 3y = k – 3

12x + ky = k

have no solution?

Pair of Liner Equation in Two Variable

For which value(s) of λ , do the pair of linear equations

 λx + y = λ²  and x +  λy = 1    have

(i) no solution?

(ii) infinitely many solutions?

(iii) a unique solution?

Pair of Liner Equation in Two Variable

Draw the graphs of the pair of linear equations x – y + 2 = 0 and 4x – y – 4 = 0. Calculate the area of the triangle formed by the lines so drawn and the x-axis.

Pair of Liner Equation in Two Variable

Solve the following pair of linear equations:

21x + 47y = 110

47x + 21y = 162

Pair of Liner Equation in Two Variable

For which values of p and q, will the following pair of linear equations have infinitely many solutions?

Pair of Liner Equation in Two Variable

For all real values of c, the pair of equations

x – 2y = 8

5x – 10y = c

have a unique solution. Justify whether it is true or false.

Pair of Liner Equation in Two Variable

 Is the pair of equations  x + 2y – 3 = 0 and 6y + 3x – 9 = 0 consistent? Justify your answer.

Pair of Liner Equation in Two Variable

 Do the equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent a pair of coincident lines? Justify your answer.

Class 7- English (An alien hand)

 Are Class 7 English (An Alien Hand) Important Questions helpful for group studies ?