(a + b) ² What is the formula ?

(a + b) ² What is the formula ?
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1 Answer

Answer :

(a + b) ² a² + 2ab + b²
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According to Rankine's formula, the minimum depth of foundation (A) h = (P/W) [(1 - sin )/(1 + sin )]² (B) h = (w/P) [(1 - sin )/(1 + sin )]² (C) h = (P/w) [(1 - sin )/(1 + tan )]² (D) h = (P/w) [(1 - tan )/(1 + tan )]²

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Last Answer : Answer: Option A

According to Rankine's formula, minimum depth of foundations, is (A) (P/w) × [(1 + sin )/(1 - )]² (B) (P/w) × [(1 - sin )/(1 + )]² (C) (P/2w) × [(1 - sin )/(1 + )]² (D) (P/w) × [(1 + sin )/(1 - )]

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Prove that (a + b) ² = a² + 2ab + b²?

Description : Prove that (a + b) ² = a² + 2ab + b²?

Last Answer : Proof: ( a + b) ^ 2 = (a + b) * (a + b) [(a + b) (2 means ( a + b) multiplied by ( a + b) .] = a (a + b) + b (a + b) = a ^ 2 + ab + ba + b ^ 2 = a ^ 2 + ab + ab + b ^ 2 = a ^ 2 + 2ab + b ^ 2 Therefore , (a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

For the same draw down in two observations wells at distances r1 and r2, the times after start of pumping are t1 and t2 hours respectively. The relation which holds good is (A) t2 = r2/r1 × t1 (B) t2 = (r2/r1)² × t1 (C) t2 = (r2/r1)3 × t1 (D) t2 = (r2/r1) × t1 2

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Last Answer : (B) t2 = (r2/r1)² × t1

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Last Answer : Answer: Option C

If l1 and l2 are the lengths of long and short spans of a two way slab simply supported on four edges and carrying a load w per unit area, the ratio of the loads split into w1 and w2acting on strips parallel to l2 and l1 is (A) w1/w2 = l2/l1 (B) w1/w2 = (l2/l1)² (C) w1/w2 = (l2/l1)3 (D) w1/w2 = (l2/l1)

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Long and short spans of a two way slab are ly and lx and load on the slab acting on strips parallel to lx and ly be wx and wy respectively. According to Rankine Grashoff theory (A) (wx /wy ) = (ly /lx ) (B) (wx/wy) = (ly/lx)² (C) (wx /wy ) = (ly /lx )4 (D) None of these

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If S is the potential infiltration, P is rainfall in cm in a drainage of a soil with fair pasture cover, the direct run off Q in cm is given by (A) Q = (P - 0.1 S)²/(P + 0.4 S) (B) Q = (P - 0.2 S)²/(P + 0.6 S) (C) Q = (P - 0.2 S)²/(P + 0.8 S) (D) Q = (P - 0.2 S)²/(P + 0.2 S)

Description : If S is the potential infiltration, P is rainfall in cm in a drainage of a soil with fair pasture cover, the direct run off Q in cm is given by (A) Q = (P - 0.1 S)²/(P + 0.4 S) (B) Q = (P - 0.2 S)²/(P + 0.6 S) (C) Q = (P - 0.2 S)²/(P + 0.8 S) (D) Q = (P - 0.2 S)²/(P + 0.2 S)

Last Answer : Answer: Option C

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Description : If V is the design speed in km/hour and R is the radius of the curve of a hill road, the super￾elevation (A) e = V / 127 R (B) e = V² / 127 R (C) e = V ²/ 225 R (D) e = V / 225 R

Last Answer : Answer: Option C

The cross-section of a road partly in banking and partly in cutting is shown in the given figure. The area of the shaded portion is (A) b - rd)²/(r - s) (B) b - rd)²/(r + s) (C) ½ × (b + rd)²/(r - s) (D) b - rd)²/(s - r)

Description : The cross-section of a road partly in banking and partly in cutting is shown in the given figure. The area of the shaded portion is (A) b - rd)²/(r - s) (B) b - rd)²/(r + s) (C) ½ × (b + rd)²/(r - s) (D) b - rd)²/(s - r)

Last Answer : (A) b - rd)²/(r - s)

The area of the cross-section of a road fully in banking shown in the given figure, is (A) [sb² + r² (2bd + sd)²]/(r² - s²) (B) [sb² + r² (2bd + sd)²]/(r² - s5 ) (C) [sb² + r² (2bd + sd)²]/(r - s) (D) None of these

Description : The area of the cross-section of a road fully in banking shown in the given figure, is (A) [sb² + r² (2bd + sd)²]/(r² - s²) (B) [sb² + r² (2bd + sd)²]/(r² - s5 ) (C) [sb² + r² (2bd + sd)²]/(r - s) (D) None of these

Last Answer : (A) [sb² + r² (2bd + sd)²]/(r² - s²)

The following is correct : (A) P = V x I (B) P = I ² x R (C) P = V ² / R (D) All of the above

Description : The following is correct : (A) P = V x I (B) P = I ² x R (C) P = V ² / R (D) All of the above

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