CBSE Questions for Class 9 Maths Polynomials Quiz 6 - MCQExams.com

State whether the statement is True or False.
Evaluate: $$(a+bc)(a-bc)(a^2+b^2c^2)$$ is equal to $$a^4-b^4c^4$$.
  • True
  • False
State whether the statement is True or False:
On evaluating $$(7x+\dfrac{2}{3}y)(7x-\dfrac{2}{3}y)$$ we get, $$49x^2-\dfrac{4}{9}y^2$$.
  • True
  • False
State whether the statement is True or False:
$$(2a+3)(2a-3)(4a^2+9)$$ is equal to $$16a^4-81$$.
  • True
  • False
State whether the statement is True or False:
Expanding $$\left(3x-\dfrac{1}{3x}\right)^2 $$, we get $$9x^2-2+\dfrac{1}{9x^2} $$.
  • True
  • False
State whether the statement is True or False:
$$(a+\dfrac{1}{2a})^2 $$ is equal to $$a^2+1+\dfrac{1}{4a^2} $$.
  • True
  • False
State whether the statement is True or False:
$$(a-2b)^2 $$ is equal to $$a^2-4ab+4b^2$$.
  • True
  • False
State whether the statement is True or False:
$$(6-xy)(6+xy)$$ is equal to $$36-x^2y^2$$.
  • True
  • False
State whether the statement is True or False:
$$\left(3x-\dfrac{1}{2y}\right)\left(3x+\dfrac{1}{2y}\right)$$ is equal to $$9x^2-\dfrac{1}{4y^2}$$.
  • True
  • False
State whether the statement is True or False:
$$\left(2a-\dfrac{1}{a}\right)^2 $$ is equal to $$4a^2-4+\dfrac{1}{a^2} $$.
  • True
  • False
State whether the statement is True or False:
$$(2a+b)^2 $$ is equal to $$4a^2+4ab+b^2$$.
  • True
  • False
Simplify: $$\left (\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}  \right)$$.
  • $$3$$
  • $$5$$
  • $$6$$
  • $$8$$
State whether the statement is True or False:
$$(2x-\dfrac{1}{2x})^2 $$ is equal to $$4x^2-2+\dfrac{1}{4x^2} $$.
  • True
  • False
Evaluate using expansion of $$(a+b)^2$$ or $$(a-b)^2$$ :
$$(208)^2$$
  • 45264
  • 45294
  • 43284
  • 43264
State whether the statement is True or False:
The square of $$(a+\dfrac{1}{5a})$$ is $$a^2+1+\dfrac{1}{4a^2}$$.
  • True
  • False
State whether the statement is True or False:
$$(6-5xy)(6+5xy)$$ is equal to $$36-25x^2y^2$$.
  • True
  • False
State whether the statement is True or False:
$$(2x-\dfrac{3}{5})(2x+\dfrac{3}{5})$$ is equal to $$4x^2-\dfrac{9}{25}$$.
  • True
  • False
State whether the statement is True or False:
The square of $$(x+3y)$$ is equal to $$x^2+6xy+9y^2$$.
  • True
  • False
State whether the statement is True or False:
$$(4x^2-5y^2)(4x^2+5y^2)$$ is equal to $$16x^4-25y^4$$.
  • True
  • False
State whether the statement is True or False:
The square of $$ (\dfrac{5a}{6b}+ \dfrac{6b}{5a} )$$ is equal to $$\dfrac{25a^2}{36b^2} -2+\dfrac{36b^2}{25a^2} $$.
  • True
  • False
State whether the statement is True or False.
Evaluate: $$(m+3)(m-3)(m^2+9)$$ is equal to $$m^4-81$$.
  • True
  • False
State whether the statement is True or False:
The square of $$(3x+\dfrac{2}{y} )$$ is equal to $$9x^2+\dfrac{12x}{y}+\dfrac{4}{y^2} $$.
  • True
  • False
State whether the statement is True or False:
The square of $$(8x+\dfrac{3}{2}y )$$ is equal to $$64x^2+24xy+\frac{9}{4}y^2 $$.
  • True
  • False
Evaluate:
$$203\times 197$$
  • 39991
  • 39891
  • 39981
  • 38981
State whether the statement is True or False:
$$(1.6x+0.7y)(1.6x-0.7y)$$ is equal to $$2.56x^2-0.49y^2$$.
  • True
  • False
Evaluate:
$$20.8 \times 19.2$$
  • 399.86
  • 398.16
  • 399.36
  • 398.56
State whether the statement is True or False:
The square of $$(2m^2-\dfrac{2}{3}n^2 )$$ is equal to $$4m^4-\dfrac{8}{3}m^2n^2+\dfrac{4}{9}n^4$$.
  • True
  • False
Find the square of:
$$391 $$
  • 154881
  • 153881
  • 152881
  • 151881
Find the square of:
$$607 $$
  • 368549
  • 368449
  • 368349
  • 368249
If $$1$$ is zero of the polynomial $$f(x) =a^2x^2 - 3ax +3x - 1$$, then $$a$$ is equal to
  • $$-1$$
  • $$2$$
  • $$-2$$
  • $$0$$
If $$x = 2$$ and $$x = 3$$ are zeros of the quadratic polynomial $$x^2 + ax + b$$, the values of $$a$$ and $$b$$ respectively are
  • $$5,- 6$$
  • $$- 5, - 6$$
  • $$-5, 6$$
  • $$5, 5$$
0:0:1


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