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a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer?.

Solutions for a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.

Here you can find the meaning of a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer?, a detailed solution for a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? has been provided alongside types of a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice a) Le a, b be the roots of x2_ x + p = 0 and g, d the roots of x2_ 4x + q = 0. If a, b, g, d are in G.P., then the integral values of p and q respectively, are(A) _2, _32 (B) _2, 3 (C) _6, 3 (D) _6. _ 32(b) If the sum of the first 2n terms of the A.P. 2, 5, 8,... ..........is equal to the sum of the first n terms of the A.P. 57, 59, 61,......., then n equals(A) 10 (B) 12 (C) 11 (D) 13(c) Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd are [Jee 2001, (Scr.) 1 + 1 + 1](A) NOT in A.P./G.P./ H.P. (B) in A.P. (C) in G.P. (D) in H.P.(d) Let a1, a2,..... be positive real numbers in G.P. For each n, let An, Gn, Hnbe respectively, the arithmetic mean, geometric mean, and harmonic mean of a1, a2,..........., an. Find an expression for the G.M. of G1, G2,............, Gnin terms of A1, A2,...........,An, H1, H2,........,Hn. [JEE 2001 (Mains), 5]Correct answer is '(a) A (b) C (c) D(d) [(A1 . A2 ................. An) (H1 . H2 .............Hn)'. Can you explain this answer? tests, examples and also practice JEE tests.