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Five years hence, father's age will be three times the age of his son. Five years ago,
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A and B are friends and their ages differ by 2 years. A's father D
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P and Q each have certain number of apples. A says to B, “if you give me 10 of your apples,
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If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.
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If cosφ + sinφ = √2 cosφ, prove that cosφ - sinφ = √ 2sin φ.
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Prove that one of every three consecutive integers is divisible by 3.
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Find the point on the y-axis which is equidistant from the points (5,–2) and (–3,2).
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Which term of the sequence 4, 9, 14.... is 124? 2
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Find the LCM and HCF of 120 and 144 by using Fundamental Theorem of Arithmetic.
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If sec A+ tan A = p, then find the value of sec A – tan A.
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