Skip to main content

8


Q1. Using a suitable identity, the value of (1 – cos2A) cosec2A is
2
1
0
-1
Q2. If A + B = 900, then, cosA.cosecB - cosA.sinB =
sin2 A
cos 2A
2 sin A
cos A2
Q3. The value of cos2 17– sin2 73o is
1
0
3
-1
Q4. If 2 cos(A + B) = 1, and 2 sin(A –B) = 1 then the values of A and B are
45o, 15o
20o, 10o
30o, 45o
15o, 22o
Q5. The value of sin 60o cos 30o +cos 60o sin30o is
1
2
0
-2
Q6. If cos A + cos2 A = 1, then sin2 A + sin4 A is
-1
0
1
2
Q7. If a cot θ+ b cosec θ = p and b cot θ + a cosec θ= q then p2 - q2 is equal to
a- b2
b2 - a2
a2 + b2
b2 + a2
Q8. [cos4 A - sin4A] is equal to:
2 cos2 A + 1
2 cos2 A - 1
2 sin2 A - 1
2 sin2 A + 1
Q9. If A is an acute angle in a right triangle ABC, right angled at B, then value of sin A + cos A is.
1
not equal to 1
> 1
< 1
Q10. [(sec A + tan A) (1 - sin A)] on simplification gives:
tanA
sec2 A
cos A
sin A
Q11. If acos θ + bsin θ = 4 and asin θ - bcos θ = 3, then a2 + b2 is
7
12
25
None
Q12. Which of the following is defined?
tan 90°
cot 0°
cosec 90°
sec 90°
Q13. If x sin (90o - θ) cot (90o- θ) = cos (90o - θ) then x is
-1
1
2
0
Q14. If tan A = cot B, then A + B = ?
300
450
600
900
Q15. If cos 2x= cos 60o cos 30o + sin 60o sin 30o then x is equal to
15o
30o
60o
90o
Q16. The value of cos θ cos(90° - θ) - sin θ sin (90° - θ) is:
1
0
2
-1
Q17. If x = a cos θ and y = b sin θ then b2x2 + a2y2 is equal to
a2b2
ab
a4b4
a2 + b2
Q18. If A and B are the angles of a right angled triangle ABC, right angled at C, then 1 + cotA =
cosB
secB
tanB
cotB
Q19. If tan 2A = cot (A - 18o), then the value of A is
18o
36o
24o
27o
Q20. If cos (40o + A) = sin 30o, the value of A is:
30o
40o
60o
20o

Comments

Popular posts from this blog

2

Q1 : If sum of the squares of the zeros of the quadratic polynomial f(x) = x 2  - 8x + k is 40, find the value of k : 12 -12 14 -14 Q2 : When the polynomial f(x) = 4x 3  + 8x 2  + 8x + 7 is divided by the polynomial g(x) = 2x 2  - x + 1, the quotient and the remainder are Quotient = 2x + 5, Remainder = 11x + 2 Quotient = x -5, Remainder = 13 Quotient = x 2  - 5, Remainder = 15 Quotient = 2x - 5, Remainder = 11x Q3 : If the polynomial (2x + 3 ) is a factor of the polynomial  2x 3   +   9x 2   -  x  –  b : The value of b is_______  10   15      5  20 Q4 : The expression that should be subtracted from the polynomial f(x) = x 4  + 2x 3  -13x 2  - 12x + 21 so that the resulting polynomial is exactly divisible by g(x) = x 2  – 4x + 3 is 2x - 3 x 2  - 3 x 2  + 4 x - 4 Q5 : The graph of the polynomial f(x) ...

6

Q 1. If in two right triangles, hypotenuse and one side of one triangle are proportional to the hypotenuse and one side of the other triangle,then the two triangles are __________. Both similar and congruent Similar Congruent Neither similar nor congruent Q 2. Two equilateral triangles are always similar never similar cannot say unless measurements are given only if they are congruent Q 3. Triangle ABC is similar to triangle DEF and their areas are 64 cm 2  and 121 cm 2  respectively. If EF= 15.4 cm, then BC = ? 11 cm 8 cm 13 cm 11.2 cm Q 4. The ratio of the areas of two similar triangles is equal to the: square of the ratio of their corresponding sides. the ratio of their corresponding sides square of the ratio of their corresponding angles None Q 5. "A line from midpoint of one side of a triangle, parallel to second side bisects the third side." is the statement of: converse of mid point theorem converse of basic proportionali...

12

Q 1. Area of a sector of a circle of radius 36 cm is 54Π cm 2 . The length of the corresponding arc of the sector is 2Π cm 3Π cm 4Π cm 5Π cm Q 2. The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 7 per meter will be Rs. 2000 Rs. 3456 Rs. 2464 Rs. 2211 Q 3. The ratio between the radii of two circles is 1 : 5. Calculate the ratio between their circumferences. 1 : 2 1 : 5 1 : 6 1 : 8 Q 4. The radius of a circle if its perimeter and area are numerically equal is 2 units 5 units 4 units 8 units Q 5. To warn ships of underwater rocks, a light house spreads a red colored light over a sector of angle 80 o  to a distance of 16.5 km. The area of the sea over which the ships are warned is 190.14 km 2 200 km 2 180.5 km 2 135.7 km 2 Q 6. The area and circumference of a circle are numerically equal. What is the diameter of the circle? 2 units 20 units 4 units 40 unit...