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math dpp.docx - IIT JEE/AIPMT Engineer Your Education to...

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IIT JEE/AIPMT Engineer Your Education to Success with a Group Exclusive of NITIANS. D-8 Koel Nagar Rourkela DPP-1 Quadratic Equations 1] Solve the following:- A] x 2 + x – 4 = 0 B] x 2 – 3x – 4 = 0 C] x 2 – 4 = 0 D] (x – 2) 2 – 12 = 0 2] The equation 5x 2 + 3x + p has a repeated root, find the value of p. 3] Find the coordinate of the vertex of the curve y = x 2 + 2x + 3. 4] Sketch the graph of y = x 2 - x - 6 = 0. Also find the coordinate of highest and lowest point on this curve. 5] If the roots of a quadratic equation are 20 and -7, then find the equation? 6] If the roots of the equation 2x 2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b? 7] The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the
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