Answer the following as directed ( Question no 1 to 24 )
( Each question carries 1 mark) 24
* State whether true or false ( 1 to 6) 06
1. 6 , 12 , 18 , 24 , . . . , 284 is an A.P.
2. Two isosceles triangles are always similar.
3. cot2A – cosec2A = 1 .
4. A line intersecting a circle at one point only is called a tangent of the circle.
5. The area of base of a cone is πrl .
6. The relation between mean , median and mode is → Median = 3(mode) – 2(mean) .
* Fill in the blanks ( 7 to 12 ) 06
7. The HCF of 17 , 37 and 43 is ……………. . ( 17 , 43 , 1)
8. The graph of the polynomial x2 + x + 1 intersects X – axis at ……….. point/points . ( 1 , 2 , no)
9. If the roots of a quadratic equation are real, then …………… . ( D ˂ 0 , D ˃ 0 , D ≥ 0 )
10. In ∆ABC and ∆PQR , if ∟A = ∟Q , ∟B = ∟R , then the correspondence BAC ↔……….
is a similarity. ( QPR , RQP , PQR )
11.If two tangents of a circle inclined at 1100
then the angle formed at the intersection of
two radii is …………… . ( 900
, 1100
, 700
)
12. The area of a quadrant of a circle with diameter 2 cm is …… cm2
. ( π , π , π )
2 4
* Answer the following in very shortly ( 13 to 18 ) 06
13. Write the lcm of x2
y
2
, x3
y
4 and x4
y
3
.
14. Write the standard form of linear equation in two variables .
15. Write the formula of difference of roots of the standard form of a quadratic equation.
16. Find the value of k if k – 1 , k + 3 and 3k – 1 are in A.P.
17. Write the distance of the point (-7 , -3) from x – axis .
18. Mr George have a gold coin. Which formula should he apply to find its volume ?
* Select the most correct option ( 19 to 24 ) 06
19. The pair of equations 3x – 2y = -5 and 6x + 10 = 4y have ………………… .
(a) unique solution (b) no solution (c) infinitely many solutions (d) none of these
20. If the roots of the equation 9x2 – (2k – 5)x – 25 = 0 are additive inverse ( opposite),
then k = ………… .
(a) 0 (b) 1 (c) -5/2 (d) 5/2
Answers
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Answer:
1.False
2.False
3.False
4.True
5.False
6.False
Step-by-step explanation:
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