GATE 2026 PI – Question 3
General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice
At how many points do $y=x^2$ and $y=-x^2-2x-1$ intersect in the real (x,y) plane?
- 0
- 1
- 2
- 3
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Show answer and explanation
Correct answer: (A) 0
Explanation
Equate the two expressions: $2x^2+2x+1=0$. Its discriminant is $2^2-4(2)(1)=-4<0$, so there is no real x and hence no real intersection. **A: 0.**
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