Description : If a1, a2, .... an are positive numbers such that a1.a2.a3 .... an = 1, then their sum is -Maths 9th
Last Answer : answer:
Description : If a1, a2, ....., an are distinct positive real numbers such that a1 + a2 + ..... + an = 1, then -Maths 9th
Description : Let a1, a2, ..... an be positive real numbers such that a1a2a3 ...... an = 1. Then (1 + a1) (1 + a2) ..... (1 + an) is -Maths 9th
Description : The product (a + b) (a – b) (a2 – ab + b2) (a2 + ab + b2) is equal to (a) a6 + b6 (b) a6 – b6 (c) a3 – b3 (d) a3 + b3 -Maths 9th
Description : From the following figure, determine the resultant of four forces A1, A2, A3, A4.
Last Answer : From the following figure, determine the resultant of four forces \(\overset\rightarrow{A}_1\), \(\overset\ ... A}_3\), \(\overset\rightarrow{A}_4\).
Description : The total extension in a bar, consists of 3 bars of same material, of varying sections is a. P/E(L1/A1+L2/A2+L3/A3) b. P/E(L1A1+L2A2+L3A3) c. PE(L1/A1+L2/A2+L3/A3) d. PE(L1/A1+L2/A2+L3/A3)
Last Answer : a. P/E(L1/A1+L2/A2+L3/A3)
Description : If three positive real numbers, a, b, c are such that a + b + c = 1, then the minimum value of -Maths 9th
Description : If x, y, z are three positive numbers, then the minimum value of -Maths 9th
Last Answer : hope its clear and understandable
Description : If the roots ff the equation (c2 – ab)x2 – 2(a2 – bc)x + b2 – ac = 0 are equal, then prove that either a = 0 or a3 + b3 + c3 = 3abc -Maths 10th
Last Answer : (c2 – ab) x2 + 2(bc - a2 ) x+ (b2 – ac) = 0 Comparing with Ax2 + Bx + C = 0 A = (c2 – ab), B = 2(bc - a2 ) and C = b2 – ac According to the question, B2 - 4AC = 0 Put the values in the above equation we get 4a(a3 + b3 + c3 -3abc) = 0 hence, a = 0 or a3 + b3 + c3 = 3ab
Description : In a spreadsheet software, the formula =A1 +$2 was entered in cell A3 and then copied into cell B3. What is the formula copied into B3? -Technology
Last Answer : Need Answer
Description : Two solutions A1 & A2 have pH value of 2 & 6 respectively. It implies that the solution (A) A1is more alkaline than solution A2 (B) A1is highly acidic (C) A2is very slightly acidic (D) Both (B) & (C)
Last Answer : (D) Both (B) & (C)
Description : Two ores A1 and A2 of a metal M show the following reactivity: `A_(1)=CuCo_(3).Cu(OH)_(3),S=Cu` `P=Cu_(2)I_(2): G=SO_(2)` . Then `A_(2)` is
Last Answer : Two ores A1 and A2 of a metal M show the following reactivity: `A_(1)=CuCo_(3).Cu(OH)_(3),S=Cu` `P=Cu_(2) ... )` B. `CuO` C. `CuCO_(3)` D. `Cu_(2)S`
Description : For positive real numbers a, b, c, the least value of a^(logb – logc) + b^(logc – loga) + c^(loga – logb) is -Maths 9th
Description : If a, b, c are positive real numbers, then show that (a + 1)^7 (b + 1)^7 (c + 1)^7 > 7^7 a^4b^4c^4. -Maths 9th
Description : If a, b, c, d are four distinct positive real numbers and if 3s = a + b + c + d, then -Maths 9th
Description : If a, b, c are positive real numbers such that a + b + c = p, then 1/a+1/b+1/c is greater than -Maths 9th
Description : The minimum value of the sum of real numbers a^(–5), a^(–4), 3a^(–3), 1, a^8 and a^10 with a > 0 is -Maths 9th
Description : Terminal cytochrome of respiratory chain which donates electrons to oxygen is (a) Cyt b (b) Cyt c (c) Cyt a1 (d) Cyt a3.
Last Answer : d) Cyt a3
Description : If a – b = 4 and ab = 21, find the value of a3-b3. -Maths 9th
Last Answer : Given, a−b=4,ab=21 Then, ⇒(a−b)3=a3−3a2b+3ab2−b3=a3−3ab(a−b)−b3 ⇒43=a3−b3−3(21)(4) ⇒64+252=a3−b3 ∴a3−b3=316
Description : If a + b = 10 and ab = 21, find the value of a3 + b3. -Maths 9th
Last Answer : Given, a+b=10,ab=21 then, ⇒(a+b)3=a3+3ab(a+b)+b3 ⇒(10)3=a3+b3+3(21)(10) ⇒1000−630=a3+b3 ∴a3+b3=370
Description : If a + b + c =0, then a3+b3 + c3 is equal to -Maths 9th
Last Answer : (d) Now, a3+b3 + c3 = (a+ b + c) (a2 + b2 + c2 – ab – be – ca) + 3abc [using identity, a3+b3 + c3 – 3 abc = (a + b + c)(a2+b2+c2 –ab–bc-ca)] = 0 + 3abc [∴ a + b + c = 0] a3+b3 + c3 = 3abc.
Description : If a+b+c= 5 and ab+bc+ca =10, then prove that a3 +b3 +c3 – 3abc = -25. -Maths 9th
Last Answer : Prove that a3 +b3 +c3 – 3abc = -25
Description : If a + b + c = 9 and ab + bc + ca = 23, then a3 + b3 + c3 – 3 abc = (a) 108 (b) 207 (c) 669 (d) 729 -Maths 9th
Last Answer : a+b+c=9 and a2+b2+c2=35 Using formula, (a+b+c)2=a2+b2+c2+2(ab+bc+ca) 92=35+2(ab+bc+ca) 2(ab+bc+ca)=81−35=46 (ab+bc+ca)=23 using formula, (a3+b3+c3)−3abc=(a2+b2+c2−ab−bc−ca)(a+b+c) a3+b3+c3−3abc=(35−23)×9=9×12=108
Description : The average marks scored by two Class A1 and A2 students are 120 and 130 respectively. If 8 students are moved from Class A2 to Class A1 and the average marks of the two Class get interchanged. Find the total number ... average marks scored by the 8 students who moved is 150 A) 25 B) 30 C) 35 D) 40
Last Answer : D) let the number of students in Class A1 be x and class A2 be y. Total marks scored by the students will be 120x and 130y, the average gets interchanged after moving student from y Thus we get, 130y- ... (x+8) 120x+1200=130x+1040 10x=160 X=16 Thus the total number of students =24+16=40
Description : Lysolecithin is formed from lecithin by the action of (A) Phospholipase A1 (B) Phospholipase A2 (C) Phospholipase C (D) Phospholipase D
Last Answer : Answer : B
Description : Anti-inflammatory corticosteroids inhibit (A) Phospholipase A1 (B) Phospholipase A2 (C) Cyclo-oxygenase (D) Lipo-oxygenase
Description : Phenylbutazone and indomethacin inhibit (A) Phospholipase A1 (B) Phospholipase A2 (C) Cyclo-oxygenase (D) Lipo-oxygenase
Last Answer : Answer : C
Description : A ’suicide enzyme’ is (A) Cycloxygenase (B) Lipooxygenase (C) Phospholipase A1 (D) Phospholipase A2
Last Answer : Answer : A
Description : Aspirin inhibits the activity of the enzyme: (A) Lipoxygenase (B) Cyclooxygenase (C) Phospholipae A1 (D) Phospholipase A2
Description : Yohimbine is an antagonist of ______ receptors. (a) a1 (b) a2 (c) both (a) and (b) (d) None of the above
Last Answer : Ans: B
Description : If a1 and a2 are the relative volatilities when the pressure in the distillation column is 1 and 2 atm respectively. Pick out the correct statement. (A) a1 = a2 (B) a1 = 2a2 (C) a1 = 0.5 a2 (D) None of these
Last Answer : (D) None of these
Description : According to equation of continuity, (A) w1a1 = w2a2 (B) w1v1 = w2v2 (C) a1v1 = a2v2 (D) a1/v1 = a2/v2
Last Answer : Answer: Option C
Description : Night blindness is due to deficiency of vitamin: (a) A1 (b) A2 (c) D (d)B complex
Last Answer : (a) A1
Description : If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2 -Maths 9th
Last Answer : (a+b+c)2=a2+b2+c2+2ab+2bc+2ca =a2+b2+c2+2(ab+bc+ca) Given, ⇒92=a2+b2+c2+2(23) ⇒81−46=a2+b2+c2 ∴a2+b2+c2=35
Description : If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c. -Maths 9th
Last Answer : ( a + b + c )^2 = a^2 + b^2 + c^2 + 2( ab + bc + ca ) => ( a + b + c )^2 = 16 + 2×10 => ( a + b + c )^2 = 36 => a + b + c = Root 36 = 6
Description : If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + be + ca. -Maths 9th
Last Answer : (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca = a2 + b2 + c2 + 2(ab + bc + ca) 0 = 16 + 2(ab + bc + ca) 2(ab + bc + ca) = - 16 (ab + bc + ca) = -8
Description : For three distinct positive real numbers a, b, c (1 + a^3) (1 + b^3) (1 + c^3) is greater than -Maths 9th
Description : Factorise: a3 -8b3 -64c3 -24abc -Maths 9th
Last Answer : Factorisation
Description : Prove that (a +b +c)3 -a3 -b3 – c3 =3(a +b)(b +c)(c +a). -Maths 9th
Last Answer : Solution to (a +b +c) 3 -a 3 -b 3 – c 3 =3(a +b)(b +c)(c +a)
Description : Let a, b, c be positive numbers, then a/(b+c) + b/(c+a) + c/(a+b) is -Maths 9th
Description : Let a, b, c be positive numbers lying in the interval (0, 1], then a/(1+b+ca)+b/(a+c+ab)+c/(1+a+bc) is -Maths 9th
Description : For three distinct positive numbers p, q and r, if p + q + r = a, then -Maths 9th
Description : If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 +c2. -Maths 9th
Last Answer : Find a2 + b2 +c2.
Description : If a,b,c are all non-zero and a + b + c = 0, prove that a2/bc + b2/ca+ c2/ab = 3. -Maths 9th
Last Answer : Solution :-
Description : Prove that a2 + b2 + c2 – ab – bc – ca is always non-negative for all values of a, b and c. -Maths 9th
Last Answer : Sol-2(a2+b2+c2-ab-bc-ca)/2 multiplying & dividing by 2 ...