## CBSE TEST PAPER-01

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CBSE TEST PAPER-01 MATHEMATICS (Class-10) Chapter : Triangles 1 Mark Questions In fig, if ∠ A= ∠ CDE, AB=9cm, AD=7cm, CD=8cm, CE=10cm. Find DE if ∆ CAB ∼∆CED.

Q1.

C 8

10

D

E

D 7 A

B 9

Q2.

Find ‘y’ if ∆ABC ∼ ∆ PQR P A

9

Y

12 10 Q B

R

C 7

Q3.

∆ ABC , if DE=4cm, BC=8cm and ar( ∆ADE)=25sq cm. Find the area of

Q4.

If D and E are respectively the points on the sides AB and AC of a ∆ABC such that AD=6cm, BD=9cm, AE=8cm, EC=12cm, Then show that DE||BC.

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Q5.

Q A

80 40 40

80 60

B

60 P

C

R

Write symbolic representation for above similarity.

2/3 Mark Questions In fig, considering ∆ BEP and ∆ CPD. Prove that BP

Q6.

X P D= EP X PC

A

E

D P

B

C

Q7. In fig, E is a point on side CB produced of an isosceles triangle ABC with AB=AC.

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If AD ⊥ BC and EF ⊥ AC, Prove that ∆ ABD ˜ ∆ ECF.

Q8.

In ∆PQR, M is a point on QR such that PM ⊥ QR and PM2 =QM.MR. Show that PQR is a right triangle.

Q9.

In Fig, ACB=900 and CD ⊥ AB. Prove that

Q10.

Two poles of height ‘a’ meters and ‘b’ meters (a