CBSE [ All India ]_X_Mathematics_2009_Set I
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Q1
Find the number of solutions of the following pair of linear equations :
x + 2y – 8 = 0
2x + 4y = 16Marks:1Answer:

Q2
If 4/5, a, 2 are three consecutive terms of an A.P., then find the value of a.
Marks:1Answer:

Q3
Two coins are tossed simultaneously. Find the probability of getting exactly one head.
Marks:1Answer:

Q4
In figure, ABC is circumscribing a circle. Find the length of BC.
Marks:1Answer:
From the given figure, we have
BP = BR = 3 cm
CQ = AC  AQ = (11  4) cm = 7 cm [AQ = QR]
Now, BC = BP + PC = (3 + 7) cm = 10 cm [PC = CQ]. 
Q5
If the diameter of a semicircular protractor is 14 cm, then find its perimeter.
Marks:1Answer:

Q6
If 1 is a zero of the polynomial p(x) = ax^{2} – 3 (a – 1) x –1, then find the value of a.
Marks:1Answer:
If 1 is the zero of the polynomial, then
p(1) = 0
p(1) = a(1)^{2} – 3 (a – 1) 1 –1 = 0
a – 3a + 3 –1 = 0
–2a = –2
a = 1 
Q7
Marks:1Answer:

Q8Marks:1
Answer:

Q9
Find the discriminant of the quadratic equation
Marks:1Answer:

Q10
Find the [HCF x LCM] for the number 100 and 190.
Marks:1Answer:
Since the product of two positive numbers is equal to the product of their HCF and LCM,
therefore HCF x LCM = 100 x 190 = 19000.