If (5x – y)/(5x + y) = 3/7, then what is the value of (4x² + y² – 4xy)/(9x² + 16y² + 24xy)?

If (x + y)² = xy + 1 and x³ – y³ = 1, then what is the value of x – y?

In the given figure, PQRS is a square and SRT is an equilateral triangle.When is the value (in degrees) of $\angle$SOR ?

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

How many diagonals are there in octagon?

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

If sec² θ + tan² θ = 5/3, then what is the value of tan 2θ?

A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite side of Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?

If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?

The table given below represents the cost, revenue and tax rate for XYZ Limited for a period of 8 years.Cost and revenue are given in RS 000 crores,

profit for any year=revenue-cost
profit after tax for any year=profit of that year - tax of that year
Tax on any year=tax rate of that year * profit of the year
How much tax (in Rs 000 crores) was paid by XYZ limited in Y7?