In the given triangle ABC, PQ ? BC. If PB = 6 cm, AP = 4 cm and AQ = 8 cm. Then

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Q.
In the given triangle ABC, PQ || BC. If PB = 6 cm, AP = 4 cm and AQ = 8 cm. Then

(i) AC = 20 cm

(ii) AC = 12 cm

(iii) AP, AQ and QC are in arithmetic progression

(iv) $A P / A B = A Q / A C$

Choose the correct option from the following

1 (i) and (iii) are correct.

2 (ii), (iii) and (iv) are correct

3 (i), (ii) and (iv) are correct.

4 (i), (iii) and (iv) are correct.

Ans.
(4)

$G i v e n P Q ∥ B C \Rightarrow A P / A B = A Q / A C (B y B P T) ∴ (i v) i s c o r r e c t . 4 / (4 + 6) = 8 / A C \Rightarrow A C = 20 c m, ∴ (i) i s c o r r e c t .$

QC = 20 − 8 = 12 cm

4, 8, 12 are in Arithmetic Progression.

Hence, (iii) is correct.

Solution

Q.
In the given triangle ABC, PQ || BC. If PB = 6 cm, AP = 4 cm and AQ = 8 cm. Then

(i) AC = 20 cm

(ii) AC = 12 cm

(iii) AP, AQ and QC are in arithmetic progression

(iv) $A P / A B = A Q / A C$

Choose the correct option from the following

1 (i) and (iii) are correct.

2 (ii), (iii) and (iv) are correct

3 (i), (ii) and (iv) are correct.

4 (i), (iii) and (iv) are correct.

Ans.
(4)

$G i v e n P Q ∥ B C \Rightarrow A P / A B = A Q / A C (B y B P T) ∴ (i v) i s c o r r e c t . 4 / (4 + 6) = 8 / A C \Rightarrow A C = 20 c m, ∴ (i) i s c o r r e c t .$

QC = 20 − 8 = 12 cm

4, 8, 12 are in Arithmetic Progression.

Hence, (iii) is correct.

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Solution

Q. In the given triangle ABC, PQ || BC. If PB = 6 cm, AP = 4 cm and AQ = 8 cm. Then (i) AC = 20 cm (ii) AC = 12 cm (iii) AP, AQ and QC are in arithmetic progression (iv) AP/AB = AQ/AC Choose the correct option from the following

1 (i) and (iii) are correct.

2 (ii), (iii) and (iv) are correct

3 (i), (ii) and (iv) are correct.

4 (i), (iii) and (iv) are correct.

Ans. (4) Given PQ ∥ BC ⇒ AP/AB = AQ/AC (By BPT) ∴ (iv) is correct.4/4+6=8/AC⇒AC=20cm,∴(i)iscorrect. QC = 20 − 8 = 12 cm 4, 8, 12 are in Arithmetic Progression. Hence, (iii) is correct.

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Q.
In the given triangle ABC, PQ || BC. If PB = 6 cm, AP = 4 cm and AQ = 8 cm. Then

(i) AC = 20 cm

(ii) AC = 12 cm

(iii) AP, AQ and QC are in arithmetic progression

(iv) $A P / A B = A Q / A C$

Choose the correct option from the following

Ans.
(4)

$G i v e n P Q ∥ B C \Rightarrow A P / A B = A Q / A C (B y B P T) ∴ (i v) i s c o r r e c t . 4 / (4 + 6) = 8 / A C \Rightarrow A C = 20 c m, ∴ (i) i s c o r r e c t .$

QC = 20 − 8 = 12 cm

4, 8, 12 are in Arithmetic Progression.

Hence, (iii) is correct.