|
Maths Class X 1999(CBSE)
You are on Set no II Qno. 1 to 30
Time allowed : 3 hours
Maximum Marks :
100
General Instructions :
(i) Question number 1 to 15 carry
2 marks each.
(ii) Question number 16 to 25 carry 4 marks
each.
(iii) Question number 26 to 30 carry 6 marks each.
(iv) Write
the serial number of the question before attempting it.
(v) Use of
logarithmic and trignometric tables is permitted. Use of calculator is not
permitted.
Q1) Evaluate without using trignometric table:
cos
35o/sin 55o + sin 11o/cos 79o
- cos 28o cosec 62o (Marks
2)
Q6) Sarla purchased a washing machine for Rs. 13,500 which includes
the amount of sales tax. If the sales tax charged is 8% of the list price,
find the list price of the washing machine. (Marks 2)
Q10)
Find the G.C.D. of
12(9x2 - 4) and 18(6x2 - 5x - 6) (Marks 2)
Q14)
In the figure,
determine the length of the altitude AD of an isoceles triangle ABC of
side 2a, 2a and a. (Marks 2)
Q24)
If PAB is a secant
to a circle intersecting the circle at A and B and PT is a tangent, then
PT2 = PA . PB. Prove. (Marks 4)
Q25)
If two sides of a cyclic quadrilateral are parallel, prove that
(i) the remaining two sides are equal and (ii) both the diagonals are
equal. (Marks 4)
Q26)
An aeroplane when
3000 m high passes vertically above another aeroplane at an instance when
their angle of elevation at the same observation point are 60o
and 45o respectively. How many metres higher is one than the
other. (Marks 6)
|
