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The general solution of sinθ+sin2θ+sin3θ+sin4θ=0 is ____.

Given that, sinθ+sin2θ+sin3θ+sin4θ=0 On rearranging the expression, we get (Sin θ + Sin 3θ) + (sin... View Article

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^2+CM^2)=5BC^2.

Given that ABC is a triangle, right-angled at A. Also, given that BL and CM are the medians. To prove: 4(BL2 + CM2) = 5BC2 Proof: Now,... View Article

What is cotA+cosecA equal to ?

As we know cot A = cos A/Sin A Cosec A = 1/Sin A Therefore, Cot A + Cosec A = (Cos A/SinA) + (1/Sin A) = (Cos A + 1)/Sin A On solving the... View Article

Find √324 using prime factorization method.

As we know, prime factorization is the method of writing the number as the product of its prime factors. Hence, the prime factorization of 324... View Article

Point p divides the line segment joining A(-1, 3) and B(9,8) in ratio k:1. If p lies on the line x – y + 2=0, then value of k is

Given that the point (x, y) divides the line joining two points in the ration of k:1 By using the section formula, we can find the value of k x... View Article

If the two numbers are 35 and 49, find a third number such that the LCM of the three numbers is 1225

Given that, the LCM of three numbers = 1225. The two numbers are 35, 49. Let the third number be “x”. The multiples of 35... View Article

Find the point in which the graph of the linear equation 2x+3y=6 meets the x-axis.

As we know the equation of a line that meets x=axis is y = 0. So, if y = 0, 2x + 3(0) = 6 2x = 6 x = 6/2 = 3 Hence, the point in... View Article

If A, B, C, D are the angles of a cyclic quadrilateral, show that cosA + cosB+ cosC+ cos D= 0

As the quadrilateral ABCD is cyclic in nature, A + C = 180° and B +D = 180° Hence, Cos A = Cos (180° - C) = -Cos C …... View Article

for-the-series-lcr-circuit-as-shown-in-figure

solution:... View Article

Give an illustration of a petty cash book under an imprest system.

Petty means little or small. In large business firms, all receipts are banked, and all payments are made by cheques. There are various little... View Article

What is the consumer protection council in India?

The National Consumer Disputes Redressal Commission (NCDRC), India, is a semi-legal commission in India that was set up in 1988 under the... View Article

What is the scope of business?

The scope of business or the extent of business is more extensive than the terms 'Commerce' and 'Trade'. Trade is one of the parts of the... View Article

an-electron-practically-at-rest

a) 10/63 b) 20/63 c) 40/63 d) 1/63 solution:b) 20/63... View Article

an-aeroplane-a-is-flying-horizontally-due-east-at-a-speed-of-400km-hr

Solution:... View Article

a-man-walking-downhill-with-velocity-v0

a)... View Article

a-particle-of-mass-m-slides-from-the-vertex-of-the-semi-hemisphere

a)1R b)2R c)⅔R d)3/2R Solution: c) ⅔R... View Article

in-given-figure-abc-is-a-right-angled-triangle-at-b-let-d-and-e-be-any-points-on-ab-and-bc-prove-that-ae-2-cd-2-ac-2-de-2

Solution: ABC is a right-angled triangle at B Consider ∆ABE Using Pythagoras theorem (AE)2 = (AB)2 + (BE)2 ..(i) Consider ∆DBC (CD)2 =... View Article

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