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For what value of k, the pair of linear equations \(2xy3=0, 2kx+7y5=0\) has a unique solutions x = 1, y = 1
If the pair of linear equations \( xy =1, x+ky = 5\) has a unique solution x = 2, y = 1, then value of k is
The pair of linear equations \( 2x + ky – 3 = 0, 6x + \frac{2}{3}y + 7 = 0\) has a unique solution if
The pair of linear equations \( 2kx + 5y = 7, 6x – 5y = 11 \) has a unique solution if
The pair of equations \( 3x + 4y = k \ and \ 9x + 12y = 6\) has infinitely many solutions if
The pair of linear equations \( 2x + 5y = k \ and \ kx + 15y = 18\) has infinitely many solutions if
The pair of linear equations \( 13x + ky = k \ and \ 39x + 6y = k + 4\) has infinitely many solutions if
The pair of linear equations \( x + 2y = 5 \ and \ 3x + 12y = 10\) has
If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50, then age of the father in years is
A fraction become \( \frac{4}{6}\) when 1 is added to each of the numerator and denominator. However, if we substract 5 from each of them, it becomes \( \frac{1}{2}\). Then numerator of the fraction is
Three chairs and two tables cost Rs 1850. Five chairs and three tables cost Rs 2850. Then total cost of one chair and one table is
Six years hence, a man’s age will be three times the age of his son and three years ago he was nine times as old as his son. The present age of the man is
The solution of the pair of equations \( \frac{a}{x} – \frac{b}{y} = 0 \ and \ \frac{ab^{2}}{x} + \frac{a^{2}b}{y} = a^{2} + b^{2} \) is
Which of the following pairs of equations is inconsistent?
Which of the following is / are solutions of the pair of equations 3x – 2y = 4 and 6x – 4y = 8?
The pair of equations \( 3^{x + y} = 81, 81^{x – y} = 3\) has
The values of a for which the lines x = 1, y = 2 and \( a^{2}x + 2y – 20 = 0\) are concurrent are
The value of k if the linear equations \( x + 2y = 3 \ and \ 5x + ky + 7 = 0\) has unique solutions is
Graphically the pair of equations \( 6x – 3y + 10 = 0, 2x – y + 9 = 0\) represent two lines which are
A mother is five times as old as her daugther. Five years later, the mother will be three times as old as her daugther. Find the sum of their present ages in years
If a pair of linear equations is given by \(a_{1}x + b_{1}y + c_{1} = 0 \ and \ a_{2}x + b_{2}y + c_{2} = 0 \ and \ \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \ne \frac{c_{1}}{c_{2}}\), then the pair of linear equation is consistent. Whether it is true or false?
Every solution of the equation is a point on the line representing it. Whether it is tue or false?
\( 3x – y = 3, 9x – 3y = 0\) has infinitely many solutions. It is true or false?
\(\sqrt{2}x + \sqrt{3}y = 0, \sqrt{3}x – \sqrt{8}y = 0 \) has no solutions. Is it tue or false?
\(2x + 3y = 8, 4x + 6y = 9\) are consistent pair of equation. Whether it is true or false?
For all real value of c, the pair of linear equation x – 2y = 8, 5x + 10y = c has a unique solution. Whether it is true or false?
The pair of linear equations x + 2y = 5 and 7x + 3y = 13 has unique solution. Whether it is tue or false.