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15 questions · timed · auto-graded

Question 31 Mark
The line 4x + 3y - 12 = 0 cuts the coordinate axes at A and B. The area of  $\triangle O A B$ is __________.
Answer
6 sq. units
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Question 41 Mark
If the pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines, then ab =__________.
Answer
6
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Question 51 Mark
If one equation of a pair of dependent linear equations is 5x - 7y + 2 = 0 then the second equation is given by __________.
Answer
$5 k x-7 k y+2 k=0$, where k is any non-zero number
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Question 61 Mark
If x = a y = b is the solution of the pair of equations x - y = 2 and x + y = 4 then a= __________ and b = __________.
Answer
-3,1
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Question 71 Mark
If the lines represented by the equations 3x - y - 5 = 0 and 6x - 2y - p = 0 are parallel, then p is equal to __________.
Answer
10
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Question 81 Mark
If the pair of equations 2x + 3y - 5 = 0 and px - 6y - 8 = 0 has a unique solution for all real values of p except __________.
Answer
-4
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Question 91 Mark
The pair of equations $\lambda x+3 y=7,2 x+6 y=14$ will have infinitely many solutions for $\lambda=$ __________.
Answer
1
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Question 101 Mark
If a pair of linear equations is consistent with a unique solution, then the lines representing them are __________.
Answer
intersecting
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Question 111 Mark
There is (are) __________ value(s) of c for which the pair of equations $c x-y=2$ and $6 x-2 y=3$ have infinitely many solutions.
Answer
no
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Question 121 Mark
If a pair of linear equations is consistent, then the lines representing them are either __________ or __________.
Answer
intersecting, coincident
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Question 131 Mark
If the pair of equations 3x + 2ky = 2 and 2x + 5y + 1 = 0 has no solution, then k = __________.
Answer
15/4
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