Let L_1, L_2 be the lines passing through the point {\P}(0,1) and touching the parabola 9 x^2+12 x+18 y-14=0. Let Q and R be the points on the lines {\L}_1 and {\L}_2 such that the \triangle {\PQR} is an isosceles triangle with base {\QR}. If the slopes of the lines Q R are m_1 and m_2. then 16 (m_1^2+m_2^2) is equal to _____. [6 Apr 2024 Shift 1]

JEE Main 6 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 25 of 90

Marks: +1, -0

Let L1,L2 be the lines passing through the point P(0,1) and touching the parabola
9x2+12x+18y−14=0. Let Q and R be the points on the lines L1 and L2 such that the △PQR is an isosceles triangle with base QR. If the slopes of the lines QR are m1 and m2. then 16(m12+m22) is equal to _____.

[6 Apr 2024 Shift 1]

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