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If the comprehensive graph of quadratic function lies in all the four quadrants, then roots are necessarily

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Important Questions on Theory of Equations

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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 33
If the graph intersects Y-axis below the X-axis then which of the following can be valid?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 34
If the quadratic graph intersects both the X and Y axes at the same point, which of the following is not correct?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 35
If the two real roots are distinct, then which of the following may be correct?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 36
The graph of a quadratic equation is symmetrical about Y-axis, which one of the following can't be the roots of a quadratic equation?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 37
If the roots of a quadratic equation are (4,10), then what is the distance between the Y-axis and the axis of symmetry of the pertinent graph?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 38
The distance between the Y-axis and the axis of symmetry is 4 and one of the two roots is -9, then what can be the other root?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 39
In a set of 200 quadratic equations, the discriminant D for different equations is such that D=-99,-98, 99,100. Then which one of the following is not true?
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Quantum CAT Also Useful for XAT>Chapter 14 - SNAP>CMAT>Q 40

Which one(s) of the following graphs is/are correctly sketched for the given quadratic equation which has a double root (i.e., both the roots are equal), considering that all of these graphs appear considerably thick when seen with a magnifying lens? The horizontal lines, in these graphs, represent the X-axis.

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