GATE EE 2026 Set 1 — Question 3
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General Aptitude → Analytical Aptitude → Mensuration & Geometry
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Question
At how many points will the curves and intersect in the real plane?
Correct answer
(A) 0
Solution
To find the intersection points, we equate the two equations:
Now, we check the discriminant () of this quadratic equation :
Since the discriminant is negative (), the equation has no real roots. Therefore, the curves do not intersect at any point in the real plane.
Now, we check the discriminant () of this quadratic equation :
Since the discriminant is negative (), the equation has no real roots. Therefore, the curves do not intersect at any point in the real plane.
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