MCQ
Angle of intersection between the curves $y^2 = 4ax$ and $x^2 = 4ay$
- ✓is constant for all values of $a$
- Bincreases if $a > 0$
- Cdecreases if $a < 0$
- Dboth $(B)$ and $(C)$ are true
✓
Answer
Correct option: A.
is constant for all values of $a$
a
$\left.\left.\mathrm{m}_{1}=\frac{\mathrm{dy}}{\mathrm{dx}}\right]_{\mathrm{c}_{1}}^{\mathrm{P}}=\frac{1}{2} \text { and } \mathrm{m}_{2}=\frac{\mathrm{dy}}{\mathrm{dx}}\right]_{\mathrm{c}_{2}}^{\mathrm{P}}=2$
$\left.\left.\mathrm{m}_{1}=\frac{\mathrm{dy}}{\mathrm{dx}}\right]_{\mathrm{c}_{1}}^{\mathrm{P}}=\frac{1}{2} \text { and } \mathrm{m}_{2}=\frac{\mathrm{dy}}{\mathrm{dx}}\right]_{\mathrm{c}_{2}}^{\mathrm{P}}=2$
clearly both are independent of $'a'.$
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