If \( 7b - \frac{1}{4b} = 7 \) then what is the value of \( 16b^2 + \frac{1}{49b^2} \) ?
\( \frac{80}{49} \)
\( \frac{104}{7} \)
\( \frac{120}{7} \)
\( \frac{7}{2} \)
In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT=8cm, PA=6cm, AB=x cm, then find the value of x
\( \frac{14}{9} \)
\( \frac{1}{3} \)
\( \frac{14}{3} \)
\( \frac{4}{3} \)
The following chart represents the gross amount (in โน lakhs) and total cost (inโน lakhs) of a firm.
In order to make a profit of 25%, what should the gross amount have been (in crores) in 2019-2020, if the total cost remained the same?
If cos θ = \( \frac{\sqrt{3}}{2} \), then tan²θ · cos²θ = ?
\(\dfrac{1}{\sqrt{3}}\)
\( \frac{1}{4} \)
\( \frac{1}{2} \)
\(\sqrt{3}\)