Question
State the AA-similarity criterion.
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Answer
If two angles of one triangle are respectively equal to two angles of another triangle then the two triangles are similar.
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Solve the following quadratic equations by factorization:
$\frac{1}{\text{x}-2}+\frac{2}{\text{x}-1}=\frac{6}{\text{x}},$ $\text{x}\neq0$
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The $24^{\text {th }}$ term of an A.P. is twice its $10^{\text {th }}$ term. Show that its $72^{\text {nd }}$ term is $4$ times its $15^{\text {th }}$ term.
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Marks:
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20-30
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30-40
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40-50
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50-60
|
60-70
|
70-80
|
80-90
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Frequency:
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p
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15
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25
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20
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q
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8
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10
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Evaluate the following:
$\frac{4}{\cot^230^\circ}+\frac{1}{\sin^260^\circ}-\cos^245^\circ$
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The following table shows classification of number of workers and the number of hours they work in a software company. Find the median of the number of hours they work.
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Area of land (in hactares):
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1-3
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3-5
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5-7
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7-9
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9-11
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11-13
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Number of families:
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20
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80
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55
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12
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