A) a straight line
B) circle
C) a hyperbola
D) an ellipse
Correct Answer: C
Solution :
Given equations are \[x\,\,\cot \,\theta +y\,\text{cosec }\theta \text{=2}\] ...(i) and \[\text{x cosec }\theta +y\,\,\cot \,\theta =6\] ...(ii) On squaring and subtracting Eq. (i) from Eq. (ii), we get \[{{x}^{2}}(\text{cose}{{\text{c}}^{2}}\theta -{{\cot }^{2}}\theta )+{{y}^{2}}({{\cot }^{2}}\theta -\text{cose}{{\text{c}}^{2}}\theta )\] \[={{(6)}^{2}}-{{(2)}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}-{{y}^{2}}=32\] It represents an equation of hyperbola.
You need to login to perform this action.
You will be redirected in
3 sec
