If c 3a-2b then abc
WebSince cb = 32 , 3b = 2c ... Prove that every positive integer less than or equal to the square root of a is a near factor of a. Let k be a positive integer with k ≤ a. Use the division algorithm to write a = kq+ r where 0 ≤ r < k. Note that q ≥ k (this … Web24 okt. 2016 · $a,b,c$ are non zero , unequal rational numbers then prove that roots of the equation $$(abc^2)x^2+3a^2 cx+b^2cx-6a^2-ab+2b^2=0$$ are rational
If c 3a-2b then abc
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WebAnswer (1 of 10): Let y= a^2 + b^2 Or, y= a^2 +{ (5–3a)/4}^2 Or,16 y=16 a^2 +25+9a^2 -30a Or, 16 y= 25a^2–30a+25 16 dy/da= 50a-30 For minimum or maximum value of y: dy/da =0 Or, a= 3/5 Now, 3a+4b=5 Or, 3*3/5 +4b=5 Or, 9/5+4b =5 Or, 4b=16/5 Or, b= 4/5 d^2(y/d)x^2 = 50 is positive so a... Web5 apr. 2024 · If a,b,c are rational then roots of equation `abc^2x^2+3a^2 cx+b^2 cx-6a^2-ab+2b^2=0` are (A) irrational (B) rational (C) imaginary (D) irrational if `a^2ltb`.
WebClick here👆to get an answer to your question ️ In a triangle ABC , if b^2 + c^2 = 3a^2 , then cot B + cot C - cot A is equal to. ... The bisectors of the equal angles B and C of an isosceles triangle ABC meet at O. Then, Answer: AO … WebClick here👆to get an answer to your question ️ If a,b,c >0 and a = 2b + 3c , then the roots of the equation ax^2 + bx + c = 0 are real if. Solve Study Textbooks Guides. ... If b 2 < 4 a c then roots of equation a x 4 + b x 2 + c = 0 are real and distinct if: This question has multiple correct options.
Web27 dec. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and … WebIf a,b and c are non-coplanar vectors, then prove that the four points `2a+3b-c,a-2b+3c,3a+4b-2c and a-6b+6c` are coplanar.
WebIf in a ABC , 3a=b+c, then the value of cot 2B.cot 2C is : A 1 B 3 C 2 D none of these Medium Solution Verified by Toppr Correct option is C) Consider, cot 2Bcot 2C = (s−a)(s−c)s(s−b) × (s−b)(s−a)s(s−c) = s−as = 2s−2a2s = b+c−aa+b+c= 2a4a=2 Was this answer helpful? 0 0 Similar questions
WebSolution If c a b c ¯ = 3 a ¯ - 2 b ¯, then a b c [ a ¯ b ¯ c ¯] is equal to 0. Explanation: a b c a b c [ a ¯ b ¯ c ¯] = a ¯ ⋅ ( b ¯ ⋅ c ¯) a b a b = a ¯ ⋅ [ b ¯ × ( 3 a ¯ - 2 b ¯)] a b a b b = a ¯ … diamond blogWebIf c a b c ¯ = 3 a ¯ - 2 b ¯, then prove that a b c [ a ¯ b ¯ c ¯] = 0 Advertisement Remove all ads Solution We use the results: b b 0 b ¯ × b ¯ = 0 ¯ and if in a scalar triple product, two vectors are equal, then the scalar triple product is zero. a b c a b c [ a ¯ b ¯ c ¯] = a ¯. ( b ¯ × c ¯) a b a b = a ¯. [ b ¯ × ( 3 a ¯ - 2 b ¯)] diamond blue carpet cleaningWeb15 jun. 2024 · 3a + 2b - 5c = 0. Hence, (3a)³ + (2b)^3 + (-5c)³ = 3 (3a) (2b) (-5c) = -90 abc = -90 x 0 = 0.ans... hope this will help. hmmm. so you can do it afterwards. ook. then that … diamond blue airdiamond blue crested butteWeb6 mrt. 2024 · If a, b, c are real numbers and a2 + b2 + c2 = 2 (a - b - c) - 3, then the value of a + b + c is Q6. The value of ( 0.7) 3 − ( 0.43) 3 ( 0.7) 2 + 0.43 × 0.7 + ( 0.43) 2 is equal to: Q7. The value of ( 281 + 119) 2 − ( 281 − 119) 2 281 × 119 is equal to which of the following? Q8. If a + b 2 = 4 and ab = 7, then the value of (a - b) = circle w cattle trailerWebQ. If 3a+5b+4c=0, show that: 27a3 + 125b3 + 64c3 = 180abc. Q. Factorise 27a3+8b3−18a2b−12ab2. Q. If a + 2b = 5, then find the value of a3+8b3+30ab. Q. If a + … diamond blue color numberWebId est, it remains to prove that: a4b4c4 + abc(4(ab + ac + bc) − 9abc) ≤ 4. Let a + b + c = 3u, ab + ac + bc = 3v2 and abc = w3. Hence, the last inequality is a linear inequality of v2, which says that it's enough to prove this inequality for extremal value of v2, which happens for equality case of two variables. diamond blue air \u0026 plumbing