Find the centre of mass of a triangular lamina.
The centre of mass of a triangular lamina is at the intersection of the medians. Thus, it is the centroid... View Article
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If one root of 5x2 + 13x + k = 0 is the reciprocal of the other root, then find the value of k.
Given quadratic equation is: 5x2 + 13x + k = 0 Let α and 1/α be the roots of given... View Article
What is the reciprocal of -5?
Let y be the reciprocal of -5.As we know, the product of a number and its reciprocal is equal to... View Article
What is the predecessor of 17?
(a) 16 (b) 18 (c) 0 (d) 17Correct option: (a) 16The predecessor of any number can be obtained by subtracting... View Article
The value of tan 75° is
(a) 2 + √3(b) 2 – √3(c) 1 + √3(d) √3 – 2Correct option: (a) 2 + √3The value of... View Article
What is the value of period of 2 sin x cos x?
Let the given function be y = 2 sin x cos xThus, y = sin 2xWe know that the period... View Article
Find the square root of 2304 by prime factorisation method.
The prime factorisation of 2304 is:2304 = 2 x 2 x 2 x 2 x 2 x 2 x 2... View Article
The opposite sides of a rectangle are
(a) equal(b) parallel(c) unequal(d) Both (a) and (b)Correct option: (d)The opposite sides of a rectangle are equal and parallel.
Prove that (tan A + sin A)/(tan A – sin A) = (sec A + 1)/(sec A – 1).
LHS = (tan A + sin A)/(tan A – sin A) = [(sin A/cos A) + sin A]/ [(sin A/cos... View Article
Find the mean of first ten odd natural numbers.
First ten odd natural numbers are:1, 3, 5, 7, 9, 11, 13, 15, 17, 19Mean = (1 + 3 +... View Article
What is p2 + q2 formula?
Using the algebraic identity (a + b)2 = a2 + b2 + 2ab we can derive the formula as, (p... View Article
Express sin A in terms of cot A.
We know that, cosec2A – cot2A = 1 cosec2A = 1 + cot2A 1/sin2A = 1 + cot2A So, sin2A... View Article
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.
Rhombus and Square are the quadrilaterals whose diagonals are perpendicular bisectors of each other.
Find the derivative of sin2x with respect to x using product rule.
d/dx (sin2x) = d/dx (sin x. sin x)Using the product rule of differentiation,= sin x d/dx(sin x) + [d/dx (sin... View Article
If cos θ + sin θ = √2 cos θ, prove that cos θ – sin θ = √2 sin θ.
Given,cos θ + sin θ = √2 cos θSquaring on both sides,(cos θ + sin θ)2 = (√2 cos θ)2cos2θ... View Article
What is ordinate in maths?
The y-coordinate of a point is called the ordinate. It is the perpendicular distance from the x-axis measured along the... View Article
___ is the factor of every number.
1 is the factor of every number.Every number other than 1, has at least two factors.
Find the LCM of 25 and 40 by the prime factorization method.
Prime factorization of 25 is: 25 = 5 × 5Prime factorization of 40 is: 40 = 2 × 2 ×... View Article
Express 0.(001) bar in p/q form.
Let \(\begin{array}{l}0.\overline{001}\end{array} \) = x So, x = 0.001001…..(i) Multiply by 1000 on both sides, 1000x = 1.001001…..(ii) Subtracting (i)... View Article
The value of cos 540° is
Let us write the angle 540° as a sum or difference using the period of cos function.cos 540° = cos(180°... View Article
