In the given figure, MB || QR. The length of PB is

4 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

6 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4.2 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4.8 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 4 cm

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.
Given: MB || QR
$∴ \frac{P B}{B R} = \frac{P M}{M Q}$
$\Rightarrow \frac{P B}{5.6} = \frac{30}{42}$
$\Rightarrow P B = \frac{30}{42} \times 5.6$
$\Rightarrow P B = 4 c m$

Diagram

Hence the correct answer is option (1)

Suggest Corrections

Similar questions

Q. In the given figure, AB || QR. Find the length of PB.

Q. In the given Figure, AB

∥

QR. Find the length of PB.

Q. In the given figure, the length of PB is ___ .

Q. In the given figure,

P M

is a tangent to the circle and

P A = A M

, then,
(A)

△ P M B

is isosceles
(B)

P A \times P B = {M B}^{2}

In the given figure, ABCD is a square and $∠ P Q R = 90^{\circ}$ . If PB = QC = DR, prove that (i) QB = RC, (ii) PQ = QR, (iii) $∠ Q P R = 45^{\circ}$

Join BYJU'S Learning Program