YSA Model Paper 

Subject: Mathematics                                                                 Max Marks: 75

Class: X                                                                               Time: 3:00 Hrs

Subjective: Section-C

Marks – 8*3= 24

 

Note:  Attempt any three questions. Each part carries equal marks.

Q.3       Prove that a line parallel to one side of a triangle and intersecting other two sides,       divide   them proportionally.

Q.4       Prove that in a triangle if the sum of the squares of the measures of two sides is equal to the square of the measure of the

 third side, the triangle is the right-angled triangle.

Q.5       Prove that if two circles touches externally, the distance between their centeres is      equal    to the sum of their radius.

Q.6       Prove that measure of a central angle of a minor arc of a circle is double in measure    of the   inscribeal angle of the

 corresponding major arc.

Q.7       Transverse common tangents to the two circles having radius 3cm each. The      distance           between their centres

 being 7.5cm. Measure the distance of  tangential segments.

Q.8       Measure of the angle of elevation of a cliff is 25⁰. On walking 100 meters        towards            cliff, measure of angle of

 elevation of the top is 45⁰. Find the height of cliff.

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