y2=163x 2x2+4y2=1 y=mx+m43 is tangent to parabola which is tangent to ellipse ⇒c2=a2m2+b2 ⇒m248=2m2+4⇒m4+2m2=24⇒m2=4
Statement 1: An equation of a common tangent to the parabola y2=163x and the ellipse 2x2+y2=4 is y=2x+23. Statement 2: If the line y=mx+m43,(m=0) is a common tangent to the parabola y2=163x and the ellipse 2x2+y2=4, then m satisfies m4+2m2=24.
Held on 30 Apr 2012 · Verified 6 Jul 2026.
Statement 1 is false, statement 2 is true
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
Statement 1 is true, statement 2 is false
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