Question
Which of the following is the condition where two lines
ax + by + c = 0 and Ix + my + n = 0 will have infinite solutions?ÂSolution
For two lines represented by the equations ax + by +c=0 and lx+my+n=0 to have infinite solutions, they must be coincident, meaning one line is a scalar multiple of the other. This condition is fulfilled when the ratios of the coefficients of x, y, and the constant term are equal: a/l=b /m= c/ n So option 4 is right.
A series is 2100, 3431, 2431, 3160, 2648, 2991
If another series 1728, __, __, __, __, p, follows the same pattern as the given number series, th...
10Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 8.5Â Â Â Â Â Â Â Â Â Â 16Â Â Â Â Â Â Â Â Â Â Â Â Â ?
...1, 27, ?, 343, 729, 1331
38    40    83    254    ?     5126
Choose the number which is different from others in the group.
62 123 214 341 ? 727
...642 202 541 312 523 ?
...800    544    416    352    ?     304
9060 5685 3488 2157 1428 1077
61                          48                          ?                    ...
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