MCQ
Statement-1 (A): $(a+b+c)^2=a^2+b^2+c^2-2(a b+b c+c a)$
Statement-2 (R): $a^3+b^3+c^3-3 a b c=(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$
  • A
    Statement- 1 is true, Statement-2 is true; Statement- 2 is a correct explanation for Statement- 1.
  • B
    Statement- 1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • Statement- 1 is false, Statement- 2 is true.

Answer

Correct option: D.
Statement- 1 is false, Statement- 2 is true.
d

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $ \sqrt{\text{n}}$ is rational if n is not a perfect square.
Reason: $\frac{1}{\text{an}}=\text{a}+\text{n}.$
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Statement-1 (A): The point $P(0,12)$ lies on $y$-axis.
Statement-2 (R): The abscissa of every point on $y$-axis is zero
Statement-1 (A): In Fig. AB and CD are two equal chords of a circle with centre O. If $O P \perp A B$ and $O Q \perp C D$ and $\angle P O Q=110^{\circ}$, then $\angle A P Q=35^{\circ}$.
Statement-2 (R): Chords on the opposite side of the centre of a circle are equal.
Image
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\sqrt2$ is an irrational number.
Reason: A number is called irrational, if it cannot be written in the form $\frac{\text{q}}{\text{p}},$ where p and q are integers and $\text{q}\neq0.$
  1. Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion.
  2. Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion.
  3. Assertion is correct statement but Reason is wrong statement.
  4. Assertion is wrong statement but Reason is correct statement.
Statement-1 $( A )$ : Points $(3,-3)$ and $(12,-4)$ lie in the same quadrant.
Statement-2 (R): Points $(-1,-1)$ and $(7,7)$ lie on the bisectors of third and first quadrant angles.
Statement-1 (A): In Fig. if ACB is a straight line, then $\angle A C D=72^{\circ}$
Statement-2 (R): If a ray stands on a line, the sum of two adjacent angles formed is 180°.
Image
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The difference of rational and irrational number is irrational.
Reason: Product of rational and irrational is irrational.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: All whole numbers are rational number except 0.
Reason: am an = am + n
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Statement-1 (A): In Fig., side BC of $\triangle A B C$ is produced to D. If $\angle A C D=110^{\circ}$, then $x=40^{\circ}$.
Statement-2 (R): If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.
Image