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`         The locus of the point of intersection of the straight linestx-2y-3t=0x-2ty+3=0t€R.      Is (1) an ellipse with eccentricity 2/√5(2) an ellipse with the length of major axis 6(3) a hyperbola with eccentricity √5(4) a hyperbola with the length of conjugate axis 3 Please help`
6 months ago

Arun
21041 Points
```							Dear student From equation 1 t = 2y/(x- 3) put this in equation 2 x – 4 y2 / (x – 3)  + 3 = 0 x^2 – 3x – 4y^2 + 3x – 9 = 0 x^2 – 4y^2 = 9 now you can check this as it is a hyperbola a = 3, b = 3/2  hence conjugate axis = 2b = 3e = sqrt (1 + 1/4) e = sqrt (5) /2
```
6 months ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions