 Hello and welcome to the session. Let us understand the following question. Choose the correct answer. The question says the slope of the tangent to the curve x is equal to t square plus 3t minus 8 and y is equal to 2t square minus 2t minus 5. At the point 2 and minus 1 is a 22 by 7 b 6 by 7 c 7 by 6 d minus 6 by 7. Now let us proceed on to the solution. Given to us is x is equal to t square plus 3t minus 8 and y is equal to 2t square minus 2t minus 5. Then dx by dt is equal to 2t plus 3 and dy by dt is equal to 4t minus 2. Therefore dy by dx is equal to dy by dt multiplied by dt by dx. So it is equal to dy by dt is equal to minus 2 divided by dt by dx by dt. So we get...