LCM and HCF of two polynomials are x⁶-1 and x+1 respectively. If one of the polynomial is x³+1 then the other polynomial is

If 2x = 3y = 4z then x:y:z is

AD is the diameter of a circle with area 707 m² and AB = BC = CD as shown in the figure above. All curves inside the circle are semicircles with their diameters on AD. What is the cost of lovelling the shaded region at the rate of INR 63 per square metre

If a and b are negative real numbers and c is a positive real number, then which of the following is/are correct

1. a-b<a-c
2. If a<b, then a/c<b/c.
3. 1/b<1/c

Select the correct answer using the code given below.

The value of the expression 

(243+647)²+(243-647)²/243×243×243+647×647

is equal to

If tan θ+cot θ = 4/√3, where 0 < θ < ∏/2, then

sin θ+cos θ is equal to