Which of the following is the standard representation of quadratic equation
(x2+1)(x−1)=(x2−3)(x+3)?
If \(\left(\frac{25}{9}\right)^{x+1}\left(\frac{81}{625}\right)^{x-1}\)= \( \frac{9}{25} \), then find the value of x.
Find the value of \(\frac{\cos45^\circ}{\sec30^\circ+\mathrm{cosec}30^\circ}\)
\(\frac{\sqrt{3}}{\sqrt{2}(1+\sqrt{3})}\)
\(\frac{\sqrt{2}}{2\sqrt{2}(1+\sqrt{3})}\)
\(\frac{\sqrt{3}}{2\sqrt{2}(1+\sqrt{3})}\)
\(\frac{\sqrt{3}}{2\sqrt{3}(1+\sqrt{2})}\)
Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons.
How many people are Researchers and Scientists but Not Professors?
Consider two circuits, A and B, each of which has 12 resistors each of resistance RA and RB, respectively. In each circuit the resistors are in such a way that the net resistance of each circuit is the minimum. Now a 30 V battery with negligible internal resistance is connected across each circuit separately, and the current drawn by circuit A and circuit B are 10 A and 15 A, respectively. Then RA and RB will be:
RA​=26 Ω and RB=20 Ω
RA​=26 Ω and RB=25 Ω
RA​=36 Ω and RB=20 Ω
RAA​=36 Ω and RB=15 Ω