Given that 'θ' is an angle less than 120°, what is the value of 'θ' if it satisfies the equation 7cos² θ = 1 + sin²θ?
Given, 7cos²θ = 1 + sin²θ Or 7cos²θ - sin² θ = 1 Or 7cos²θ - (1 - cos²θ) = 1 Or 8cos²θ = 2 Or cos²θ = (2/8) =1/4 Or cosθ = 1/2 (Since, in options maximum value of 'θ' is 90°therefore, we will take the positive root only) Or cosθ = cos60° θ=60°
Number of faculties in Physics and Biology in an institute is in the ratio of 5:7 respectively. If 45 more faculties join Physics, while 24 more faculti...
Pulses of two varieties, which are costing for Rs.26/kg and Rs.78/kg as they mixed together. when the price of the mixture obtained is Rs.54/kg then wha...
Hariom has 85 notes of Rs 50 and Rs 100. If the total money he has is Rs 5000, then find the number of Rs 50 notes.
₹ 9200 is divided between L, M and N in the ratio of 6: 8: 9. If 'L' and 'M' each gave ₹ 400 to N then the new ratio of shares of L, M, and N is:
A company produces three types of products: X, Y, and Z. Initially, the production ratio of X to Y to Z is 5:7:8. The total production of these three pr...
Total population of city P and Q is 3410 and 4620 respectively. If the ratio of number of males to females in city is P and Q is 7:4 and 4:3 respectivel...
Ratio of runs scored by A, B and C is 3:10:8, respectively. Total number of runs scored by the team is 480, which is four times the runs scored by B. Fi...
If the diagonal of a square is increased by 4 cm, its area increases by 56 cm2 . Find the ratio of the new area of the square to the initial ...
The ratio of two numbers 'a' and 'b' is 6:2, respectively. Whereas the ratio of 'b' and 'c' is 10:11, respectively. When 14 is added to 'a', it becomes ...
Rs 2106 was divided among Anil, Bhanu and Charan in the ratio of 13:10:16 respectively. Find the amount received by Anil and Bhanu together.
