Quadratic Equations Questions and answers

  1. Elementary Mathematics
    1. Quadratic Equations
    2. Simplification
    3. Area and perimeter
    4. Volume and surface area
    5. Geometry
    6. Trigonometry
    7. Polynomials
    8. Height and Distance
    9. Simple and Decimal fraction
    10. Indices and Surd
    11. Logarithms
    12. Trigonometric ratio
    13. Straight lines
    14. Triangle
    15. Circles
    16. Quadrilateral and parallelogram
    17. Loci and concurrency
    18. Statistics
    19. Rectangular and Cartesian products
    20. Rational expression
    21. Set theory
    22. Factorisation
    23. LCM and HCF
    24. Clocks
    25. Real Analysis
11). \( \Large 3x^{2}+8x+4=0; 4y^{2}-19y+12=0 \)
A). If x>y
B). \( \Large If \ x\ge y \)
C). lfx
D). \( \Large If \ x \le y \)
12). \( \Large x^{2}-x-12=0; y^{2}+5y+6=0 \)
A). If x>y
B). \( \Large If \ x\ge y \)
C). lfx
D). \( \Large If \ x \le y \)
13). \( \Large x^{2}-8x+15=0; y^{2}-3y+2=0 \)
A). If x>y
B). \( \Large If x\ge y \)
C). lfx
D). \( \Large If x \le y \)
14). \( \Large x^{2}-32=112; y-\sqrt{169}=0 \)
A). If x>y
B). \( \Large If x\ge y \)
C). lfx
D). If x = y or relation cannot be established
15). \( \Large x-\sqrt{121}=0; y^{2}-121=0 \)
A). If x>y
B). \( \Large If \ x\ge y \)
C). lfx
D). If x = y or relation cannot be established


16). \( \Large x^{2}-16=0; y^{2}-9y+20=0 \)
A). If x>y
B). \( \Large If \ x\ge y \)
C). lf x
D). \( \Large If \ x \le y \)
17). If \( \Large x^{2} = 6 + \sqrt{6+\sqrt{6 + \sqrt{6+....  ...... \infty}}} \) then what is one of the values of x equal to?
A). 6
B). 5
C). 4
D). 3
18). The sum of a number and its reciprocal is \( \Large \frac{10}{3} \), then the numbers are
A). \( \Large 3, \frac{1}{3} \)
B). \( \Large 3, -\frac{1}{3} \)
C). \( \Large -3, \frac{1}{3} \)
D). \( \Large -3, -\frac{1}{3} \)
19). In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains -9 and -1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was
A). \( \Large x^{2}+10x+9=0 \)
B). \( \Large x^{2}-10x+16=0 \)
C). \( \Large x^{2}-10x+9=0 \)
D). None of the above.
20). The difference in the roots of the equation \( \Large 2x^{2}-11x+5=0 \) is
A). 4.5
B). 4
C). 3.5
D). 3
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