TS EAMCET · Maths · Hyperbola
If the eccentricity of a conic satisfies the equation , then that conic is
- A a circle
- B a parabola
- C an ellipse
- D a hyperbola
Answer & Solution
Correct Answer
(D) a hyperbola
Step-by-step Solution
Detailed explanation
Given equation is 2x3+10x-13=0. Given that the eccentricity of a conic satisfies the equation i.e., the eccentricity is any one of the roots. Now, 2x3+10x-13=0. ⇒2x3+10x=13 ⇒xx2+5=132 ⇒xx2+5=6.5 By verification: Put x=0⇒0(0+5)=6.5 Put x=1⇒112+5=6.5…
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