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Standard X

Mathematics

Arc/Chord Properties of Circles

In the figure...

Question

In the figure, two -line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = $50^{\circ}$ , and ∠CDP = $30^{\circ}$ . Then ∠PBA is equal to ____.

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Q. In the given figure, two lines segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°, then ∠PBA = ?

(a) 50°
(b) 30°
(c) 60°
(d) 100°

In the figure, two line segments $ AC$ and $ BD$ intersect each other at the point $ P$ such that $ PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, \angle APB = 50°$ and $ \angle CDP = 30°$. Then, $ \angle PBA$ is equal to:

Q. Question 5
In figure, two line segments AC and BD intersect each other at the point P such that

P A = 6 c m, P B = 6 c m, P C = 3 c m, P C = 2.5 c m, P D = 5 c m, ∠ A P B = 50^{\circ} a n d ∠ C D P = 30^{\circ} . T h e n ∠ P B A

is equal to

(A)

50^{\circ}

(B)

30^{\circ}

(C)

60^{\circ}

(D)

100^{\circ}

Q. In figure, two lines segments

A C

and

B D

intersect each other at the point

P

such that

P A = 6 c m

P B = 3 c m

P C = 2.5 c m

P D = 5 c m

∠ A P B = 50^{o}

and

∠ C D P = 30^{o}

. Then

∠ P B A

is equal to:

Q. In the figure, given below, straight lines

A B

and (CD) intersect at

P

, and

A C | | B D

. Prove that:

ii) If

B D = 2.4 c m, A C = 3.6 c m, P D = 4.0 c m

and

P B = 3.2 c m

; find the length of

P A

and

P C

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In the figure, two -line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50∘, and ∠CDP = 30∘. Then ∠PBA is equal to ____.

.

In the figure, two -line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = $50^{\circ}$ , and ∠CDP = $30^{\circ}$ . Then ∠PBA is equal to ____.