IIT JEE/AIPMT
Engineer Your Education to Success with a Group Exclusive of
NITIANS.
D8 Koel Nagar Rourkela
DPP1
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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 Summer '14
 JUDE
 Management

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