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Quadratic Equations Maths - Quadratic Equations

Gujarat Board (GSEB) - STD 10 - Maths (GSEB - English Medium). 81 questions in this chapter.

Question types

Quadratic Equations question types

81 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

81
Questions
5
Question groups
5
Question types
Sample Questions

Quadratic Equations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
Two roots of the quadratic equation $a x^2+b x+c=0$ are, real, different and recipocal then is true.
  • ✓
    $a=c$
  • B
    $a=-c$
  • C
    $b=0$
  • D
    $b+c=0$

Answer: A.

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Q 3M.C.Q (1 Marks)1 Mark
If there is _______ for quadratic equation. then real zeroes are not possible for quadratic equation.
  • A
    $D =0$
  • B
    $D>0$
  • ✓
    $D<0$
  • D
    $D \geq 0$

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark
The comprehensive method to find solution of quadratic equation is given by _______
  • ✓
    Shreedhar acharya
  • B
    Rene Decarte
  • C
    Al-khwarizmi
  • D
    Pythagoras

Answer: A.

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Q 111 Marks Question1 Mark
Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is $800$ $m^2$?
If so, find its length and breadth.
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Q 151 Marks Question1 Mark
John and Jivanti together have $45$ marbles. Both of them lost $5$ marbles each, and the product of the number of marbles they now have is $124$. We would like to find out how many marbles they had to start with. Represent situation mathematically (quadratic equation).
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Q 172 Marks Questions2 Marks
Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is $20$ years. Four years ago, the product of their ages in years was $48$.
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Q 214 Marks Questions4 Marks
A pole has to be erected at a point on the boundary of a circular park of diameter $13$ metres in such a way that the difference of its distances from two diametrically opposite fixed gates $A$ and $B$ on the boundary is $7$ metres. Is it possible to do so$?$ If yes, at what distances from the two gates should the pole be erected$?$
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