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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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A triangle with vertices (4,0),(−1,−1)(4,0),(-1,-1), (3,5)(3,5), is
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Correct option: A
isosceles and right angled
Option A (isosceles and right angled) is correct because the triangle satisfies both the conditions for being isosceles and right-angled.

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Values of α\alpha if (α,2α)(\alpha, 2 \alpha) lies inside the ΔABC\Delta A B C if A(0,2),B(2,0)A(0,2), B(2,0) and C(4,4)C(4,4) The locus of the moving point PP, such that 2PA=3PB2 P A=3 P B where AA is (0,0)(0,0) and BB is (4,−3)(4,-3), is The incentre of the triangle with vertices (1,3),(0,0)(1, \sqrt{3}),(0,0) and (2,0)(2,0) is The triangle with vertex (1,5),(−3,1) & (−2,1)(1,5),(-3,1) \,\&\,(-2,1) is The area of the quadrilateral with its vertices at the foci of the conics 9x2−16y2−18x+32y−239 x^2-16 y^2-18 x+32 y-23 =0=0 and 25x2+9y2−50x−18y+33=025 x^2+9 y^2-50 x-18 y+33=0, is Orthocentre of the triangle whose vertices are (0,0)(3,0)(0,0)(3,0) and (0,4)(0,4) is
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