| Statement-1: If the lengths of subtaegent and subnormal at \[2.5\] point \[(x,\,\,y)\] on \[y=f(x)\] are respectively \[9\] and\[4\]. Then\[x=\pm 6\] |
| Statement-2: Product of sub tangent and sub normal is square of the ordinate of the point. |
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.
Correct Answer: A
Solution :
\[\left| \frac{{{y}_{1}}}{m} \right|=9\]and\[|{{y}_{1}}m|=4\] \[\Rightarrow \]\[|{{y}_{1}}{{|}^{2}}=36\] \[\Rightarrow \]\[{{y}_{1}}=\pm 6\] Product of subtangent and sub normal is\[{{y}_{1}}^{2}\]. Statement 1 is false. Statement 2 is true.
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