• # question_answer DIRECTION (Qs. 83): Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (ONLY ONE option is correct) from the following- Statement-1: Slope of tangents drawn from $(4,\,\,10)$) to parabola${{y}^{2}}=9x$are$\frac{1}{4},\,\,\frac{9}{4}$ Statement-2: Every parabola is symmetric about its directrix A)  Statement-1 is false, Statement-2 is true.B)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.C)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.D)  Statement-1 is true, Statement-2 is false.

$y=mx+\frac{a}{m}$ $10=4m-1\frac{9/4}{m}\Rightarrow 16{{m}^{2}}-40m+9=0$                 ${{m}_{1}}+{{m}_{2}}=\frac{40}{16}=\frac{5}{2};\,\,{{m}_{1}}{{m}_{2}}=\frac{9}{16}$ $\Rightarrow$               ${{m}_{1}}=\frac{1}{4},\,\,{{m}_{2}}=\frac{9}{4}$ every parabola is symmetric about its axis only Statement 1 is true.