Solution: The molecular formula of hydrocarbons is C5H10, which satisfies the general formula CnH2n. This suggests that the hydrocarbon can... View Article
Consider ABCD is a square lawn whose side is 58m. Also, AED and BFC are the two circular ends Therefore, the diagonal of the lawn = 58√2 m... View Article
(i) ∠DAC=∠BCA Since, ABC is an isosceles triangle, Let, ∠ABC=∠BCA=y Also, given that ∠QAD=∠DAC = x (Let) By using the alternate interior... View Article
Varun preferred Heron’s formula to find the area of a farm for the following reason: Since all the side lengths of a scalene triangle are given,... View Article
To find the least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 5 in each case, we have to find the LCM of 6, 9, 12,... View Article
As we know, resultant vector, R2 = A2 + B2 + 2ABCos θ Thus, from the given value, We can write (√7b)2 = a2+b2+2ab Cos60° 7b2 = a2+b2+2ab(½)... View Article
Let α and α2 be the two roots of the equation x2+ px+q = 0. Thus, α + α2 = -p α(1+α) = -p, and α3 = q Now, (α(1+α)3 = (-p)3 α3(1+α)3 = -p3... View Article
(a) f(x) is continuous at x = 0 and x = 1 (b) f(x) is continuous at x = 0, but not x = 1 (c) f(x) is continuous at x = 1, but not x = 0 (d)... View Article
If the adjacent sides of a parallelogram are represented by a vector, then the formula to calculate the area of a parallelogram is |Vector A... View Article
Given that AEDB is a quadrilateral. We know that the sum of the interior angles of a quadrilateral is 360°. From the given figure, it is... View Article
Time period of fractional part of x, {x} = 1 But in the given question, we have, {x/5} Thus, the time period will be 5. To plot the graph for... View Article
Now, consider the figure as given below, Now, join AN, and hence ∠ANB = 90° In triangle, ANB, Cos θ = BN/2r BN = 2r cos θ Thus, BD = 2BN =... View Article
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
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