Geometry Book Back Questions

10th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    6 x 1 = 6
  1. If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

    (a)

    \(\angle B=\angle E\)

    (b)

    \(\angle A=\angle D\)

    (c)

    \(\angle B=\angle D\)

    (d)

    \(\angle A=\angle F\)

  2. In \(\angle\)LMN, \(\angle\)L=60o,\(\angle\)M=50o, If \(\triangle\)LMN~\(\triangle\)PQR then the value of \(\angle\)R is

    (a)

    40o

    (b)

    70°

    (c)

    30°

    (d)

    110°

  3. if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

    (a)

    1.4 cm

    (b)

    1.8 cm

    (c)

    1.2 cm

    (d)

    1.05 cm

  4. Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

    (a)

    13 m

    (b)

    14 m

    (c)

    15 m

    (d)

    12.8 m

  5. The two tangents from an external points P to a circle with centre at O are PA and PB.If \(\angle APB\)=70o then the value of \(\angle AOB\) is

    (a)

    100°

    (b)

    110°

    (c)

    120°

    (d)

    130°

  6. In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

    (a)

    120o

    (b)

    100°

    (c)

    110°

    (d)

    90°

  7. 3 x 2 = 6
  8. Is \(\triangle\)ABC~\(\triangle\)PQR?

  9. If \(\triangle\)ABC is similar to\(\triangle\)DEFsuch that BC=3 cm, EF=4 cm and area of \(\triangle\)ABC= 54 cm2. Find the area of \(\triangle\)DEF.

  10. Construct a triangle similar to a given triangle PQR with its sides equal to\(\cfrac { 7 }{ 4 } \) of the corresponding sides of the triangle PQR (scale factor \(\cfrac { 7 }{ 4 } \)>1)

  11. 2 x 5 = 10
  12. In \(\triangle\)ADC=, if DE||BC, AD=x, DB=x−2, and EC=x−1 then find the lengths of the sides AB and AC.

  13. Construct a \(\triangle\)PQR in which PQ=8 cm, \(\angle\)R=60o and the median RG from R to PQ is 5.8 cm. Find the length of the altitude from R to PQ.

  14. 1 x 8 = 8
  15. A girl looks the reflection of the top of the lamp post on the mirror which is 66 m away from the foot of the lamppost. The girl whose height is 12.5 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamppost are in a same line, find the height of the lamp post.

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