Algebra

  • If pth, qth and rth terms of an A.P. are a, b, c respectively, then show that –

a(q – r) + b(r – p) + c(p – q) = 0

Geometry

  • In  ABCD, ∠ B = ∠ C = 90o.  E is mid-point of BC. Prove that AE ⊥ ED.
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Science

  • A 100 W and 500 W bulbs are joined in series and connected to mains, which bulb will glow brighter?