What is the value of sinθ+cosθ, if θ satisfies the equation $$cot^2θ$$-(√3+1)cotθ+√3=0 ; 0<θ<π/4?
If (3a + 6b + c + 2d) × (3a – 6b-c+2d) = (3a – 6b + c – 2d) × (3a + 6b – c – 2d), then Which one of the following is correct ?
If $$x^n-py^n+qz^n$$ is divisible by $$x^2+abyz-bzx-axy$$, then what is $$\frac{p}{a^n}-\frac{q}{b^n}$$ equal to?
If $$\frac{2a}{3}=\frac{4b}{5}=\frac{3c}{4}$$, then what is the value of $$\frac{18}{a}\sqrt{a^2+c^2-b^2}$$?
Three persons A, B and C together can do a piece of work in 36 days. A and B together can do five times as much work as C alone; B and C together can do as much work as A alone. If A and C together can do n times as much work as B alone, then what is the value of n?
A person borrowed 10,000 at 12% rate of interest per annum compounded quarterly for a period of 9 months. What is the interest paid by him to settle his account after 9 months?
 If A and B can finish a work in 10 days, B and C can finish the same work in 12 days, C and A can finish the same work in 15 days; then in how many days can A, B and C together finish half of the work?