Varun preferred Heron’s formula to find the area of a farm for the following reason: Since all the side lengths... View Article
To find the least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 5 in... View Article
As we know, resultant vector, R2 = A2 + B2 + 2ABCos θ Thus, from the given value, We can... View Article
Let α and α2 be the two roots of the equation x2+ px+q = 0. Thus, α + α2 =... View Article
(a) f(x) is continuous at x = 0 and x = 1 (b) f(x) is continuous at x = 0,... View Article
Given that, (a+b+c)n This can be written as [a+(b+c)]n =an+nC1an−1(b+c)1+nC2an−2(b+c)2+……+nCn(b+c)n On expanding each term in the R.H.S of the above... View Article
If the adjacent sides of a parallelogram are represented by a vector, then the formula to calculate the area of... View Article
Given that AEDB is a quadrilateral. We know that the sum of the interior angles of a quadrilateral is 360°.... View Article
Time period of fractional part of x, {x} = 1 But in the given question, we have, {x/5} Thus, the... View Article
As we know that the sum of two interior opposite angles of a triangle is equal to its exterior angle,... View Article
Now, consider the figure as given below, Now, join AN, and hence ∠ANB = 90° In triangle, ANB, Cos θ... View Article
Given that, sinθ+sin2θ+sin3θ+sin4θ=0 On rearranging the expression, we get (Sin θ + Sin 3θ) + (sin 2θ + Sin 4θ)... View Article
Given that ABC is a triangle, right-angled at A. Also, given that BL and CM are the medians. To prove:... View Article
As we know cot A = cos A/Sin A Cosec A = 1/Sin A Therefore, Cot A + Cosec A... View Article
As we know, prime factorization is the method of writing the number as the product of its prime factors. Hence,... View Article
Given that the point (x, y) divides the line joining two points in the ration of k:1 By using the... View Article
Given that, the LCM of three numbers = 1225. The two numbers are 35, 49. Let the third number be... View Article
As we know the equation of a line that meets x=axis is y = 0. So, if y = 0, ... View Article
As the quadrilateral ABCD is cyclic in nature, A + C = 180° and B +D = 180° Hence, Cos... View Article
solution: \(\begin{array}{l}Z=\sqrt{R^{2}+(X_{L}-X_{C})^{2}}\end{array} \) \(\begin{array}{l}Z=\sqrt{4^{2}+(7-4)^{2}}\end{array} \) \(\begin{array}{l}Heat=i_{max}RT\end{array} \) \(\begin{array}{l}\frac{125*4*80}{2}= 40005\end{array} \) \(\begin{array}{l}cos\phi = \frac{R}{2} = \frac{4}{5}\end{array} \) \(\begin{array}{l}\phi = 37 degrees\end{array}... View Article
