Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Arithmetic progressions
Answer: 101. nth term = a + (n − 1)d = 5 + 16 × 6 = 101.
Question 2 · Coordinate geometry
Answer: 5. Distance = √(3² + 4²) = √25 = 5.
Question 3 · Trigonometry
Answer: 1/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° = 1/4.
Question 4 · Pythagoras theorem
Answer: 25 cm. c² = 7² + 24² = 49 + 576 = 625, so c = 25 cm.
Question 5 · Algebraic identities
Answer: 144. (a + b)² = a² + 2ab + b², so a² + b² = 14² − 2 × 26 = 196 − 52 = 144.
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