Variable Area and Its Extremum

JEE Main Mathematics · Area Under the Curve · 2 questions, latest first

• The sum of squares of all possible values of k, for which area of the region bounded by the parabolas 2 y^2=k x and k y^2=2(y-x)…20241 February, Shift 2 · Q26
• Three points O(0,0), P(a, a^2), Q(-b, b^2), a>0, b>0, are on the parabola y=x^2. Let S_1 be the area of the region bounded by the…20241 February, Shift 2 · Q28