Day 20: CBSE Class 10 Maths

Triangles. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

8

In the given figure, $OA \times OB = OC \times OD$. Which of the following option is correct ?

1. A.
   $\angle A = \angle C$
2. B.
   $\angle A = \angle B$
3. C.
   $\angle A = \angle D$
4. D.
   $\Delta OAD \sim \Delta OBC$

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Triangles. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

34 (B)

In the given figure, CM and RN are respectively the medians of $\Delta ABC$ and $\Delta PQR$. If $\Delta ABC \sim \Delta PQR$, then prove that : (i) $\Delta AMC \sim \Delta PNR$ (ii) $\Delta CMB \sim \Delta RNQ$

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Triangles. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

34 (b)

As shown in the given figure, a girl of height 90 cm is walking away from the base of a lamp post at a speed of $1{\cdot}2$ m/s. If the lamp is $3{\cdot}6$ m above the ground, find the length of her shadow after 4 seconds.

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Triangles. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

16

In the given figure $\Delta ABC$ is shown, in which $DE \parallel BC$. If AD = 5 cm, DB = $2{\cdot}5$ cm and DE = 8 cm, then the length of BC is :

1. A.
   10 cm
2. B.
   6 cm
3. C.
   12 cm
4. D.
   $7{\cdot}5$ cm

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Arithmetic Progressions. Asked 2 times: 2024, 2025