Triangles Maths - Triangles

In Figure, $\triangle\text{ABC}$ is an isosceles triangle, right-angled at $C$. Therefore.

• ✓
  $\mathrm{AB}^2=2 \mathrm{AC}^2$
• B
  $\mathrm{BC}^2=2 \mathrm{AB}^2$
• C
  $\mathrm{AC}^2=2 \mathrm{AB}^2$
• D
  $\mathrm{AB} 2=4 \mathrm{AC} 2$

Answer: A.

In fig. the graph of the polynomial $p(x)$ is given. The number of zeroes of the polynomial is :

• A
  $1$
• ✓
  $2$
• C
  $3$
• D
  $0$

Answer: B.

• A
  $49 : 36$
• B
  $6 : 7$
• C
  $7 : 6$
• ✓
  $36 : 49$

Answer: D.

Choose the correct answer from the given four options : In $\angle\text{BAC}=90^\circ$ and $\text{ AD}\perp\text{BC}.$ Then, Traingles

• A
  $ \mathrm{BD} \times \mathrm{CD}=\mathrm{BC}^2 $
• B
  $ \mathrm{AB} \times \mathrm{AC}=\mathrm{BC}^2 $
• ✓
  $ \mathrm{BD} \times \mathrm{CD}=\mathrm{AD}^2 $
• D
  $ \mathrm{AB} \times \mathrm{AC}=\mathrm{AD}^2 $

Answer: C.

In the given figure, $\text{DE}\parallel\text{BC} , AB = 15\ cm, BD = 6\ cm, AC = 25\ cm,$ then $AE$ is equal to :

• A
  $20\ cm.$
• B
  $18\ cm.$
• C
  $10\ cm.$
• ✓
  $15\ cm$.

Answer: D.

• ✓
  Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is the correct explanation of assertion $(A)$.
• B
  Both assertion $(A)$ and reason $(R)$ are true but reason $(R)$ is not the correct explanation of assertion $(A)$.
• C
  Assertion $(A)$ is true but reason $(R)$ is false.
• D
  Assertion $(A)$ is false but reason $(R)$ is true.

Answer: A.

• ✓
  Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ isthe correct explanation of assertion $(A)$.
• B
  Both assertion $(A)$ and reason $(R)$ are true but reason $(R)$ is not the correct explanation of assertion $(A)$.
• C
  Assertion $(A)$ is true but reason $(R)$ is false.
• D
  Assertion $(A)$ is false but reason $(R)$ is true

Answer: A.

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R)$. Mark the correct choice as:
Assertion : In the given figure $, PA \| QB \| RC \| SD.$
Reason : If three or more line segments are perpendiculars to one line, then they are parallel to each other.
Reason $(R)$ : If three or more line segments are perpendiculars to one line, then they are parallel to each other.

• ✓
  Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is the correct explanation of assertion $(A)$.
• B
  Both assertion $(A)$ and reason $(R)$ are true but reason $(R)$ is not the correct explanation of assertion $(A)$.
• C
  Assertion $(A)$ is true but reason $(R)$ is false.
• D
  Assertion $(A)$ is false but reason $(R)$ is true.

Answer: A.

• ✓
  Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ is the correct explanation of assertion $(A)$.
• B
  Both assertion $(A)$ and reason $(R)$ are true but reason $(R)$ is not the correct explanation of assertion $(A)$.
• C
  Assertion $(A)$ is true but reason $(R)$ is false.
• D
  Assertion $(A)$ is false but reason $(R)$ is true.

Answer: A.

• A
  Both assertion $(A)$ and reason $(R)$ are true and reason $(R)$ isthe correct explanation of assertion $(A)$.
• B
  Both assertion $(A)$ and reason $(R)$ are true but reason $(R)$ is not the correct explanation of assertion $(A)$.
• C
  Assertion $(A)$ is true but reason $(R)$ is false.
• ✓
  Assertion $(A)$ is false but reason $(R)$ is true.

Answer: D.