Question Text
Question 1 :
A natural number whose square diminished by 84 is equal to thrice of 8 more than the given number is?
Question 2 :
Find the roots of the following quadratic equation (by the factorisation method): $\frac{2}{5}x^2-x-\frac{3}{5}=0$
Question 3 :
Sum of the areas of two squares is $468 m^2$. If the difference of their perimeters is 24 m, find the sides of the two squares.
Question 4 :
Check whether the following is quadratic equation : $x^2 - 2x = (-2)(3-x)$
Question 5 :
Justify why the following quadratic equation has no two distinct real roots: $x^2-3x+4=0$
Question 6 :
State true or false:
A quadratic equation in the variable x is an equation of the form $ax^2 + bx + c = 0$, where a, b and c are real numbers and a≠ 0.
Question 7 :
If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now?
Question 8 :
State True or False: Every quadratic equation has at least one real root.
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bf5273b230584979a4d.jpg' />
Find the dimensions of the prayer hall given in the above figure.
Question 10 :
Justify why the following quadratic equation has no two distinct real roots: $2x^2-6x+\frac{9}{2}=0$