JEE Main 2017 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 2 April 2017 (offline), Maths Q68

Question 68 of 90 in this shift, Maths question 8 of 30.

For any three positive real numbers a, b and c,

9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c)

. Then :

(1)b, c and a are in A.P.Official answer
(2)a, b and c are in A.P.
(3)a, b and c are in G.P.
(4)b, c and a are in G.P.

Official answer

Option 1

CBSE answer key (25/04/2017, used for result).

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Conditions for Three Terms in AP or GP

Same idea in other shifts

Asked 6× in all

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1 Feb 2024, Shift 1 · Q6Let 3, a, b, c be in A.P. and 3, a $-$ 1, b+1, c+9 be in G.P. Then, the arithmetic mean of a, b and c is :MediumSingle correct
1 Feb 2024, Shift 2 · Q23If three successive terms of a G.P. with common ratio $r$ ( $r>1$ ) are the lengths of the sides of a triangle and $[r]$ denotes the…MediumNumerical value
4 Aug 2021, Shift 2 · Q86If 32, $5x$ and $y$ are in A.P., and 2, $x$ and $y$ are in G.P., then the positive common difference of the A.P. is ________.MediumNumerical value
5 Sep 2020, Shift 1 · Q56If $3^{2\sin 2\alpha-1}$ , 14 and $3^{4-2\sin 2\alpha}$ are the first three terms of an A.P. for some $\alpha$ , then the sixth term of this…MediumSingle correct

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.