This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
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16. How many pieces of plywood, each 0.35 cmHint. 1.89 m = 1.89x100 cm = 189 cm17. The product of two decimals is 261.36. IOC15 261.36. If one of them is 17.6. find theEXERCISE 3EOBJECTIVE QUESTIONSMark against the correct answer in each of the follos1. 06 = ?016(c)505005 -tel 1Id(b) 2.08(c) 2.008id(al 2.84.6 cm = ?(a) 0.006 km5. 70 g = ?Ibl 0.0006 km(cl 0.00006 km |
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Answer» Today is India vs England match who win sorry I didn't know that answer please like my answer then I like your answer to all of who win 0.00006cm is the correct answer 0.00006cm is the correct answer |
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| 2. |
Straight objective questions:The reciprocal terms of an H.P is in |
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Answer» A sequence of numbers is called aHarmonic progressionif the reciprocal of the terms are inAP. In simple terms, a, b, c, d, e, f are in HP if 1/a, 1/b, 1/c, 1/d, 1/e, 1/f are in AP. For example, 1/a, 1/(a+d), 1/(a+2d), and so on are in HP because a, a + d, a + 2d are in AP. |
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| 3. |
Objective Questions07. The general solution of the equation tan θis6(d) none of these6 |
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| 4. |
ive the law of combination of resistances in series. |
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| 5. |
t the ratio of theof the sum of first n terms of a G.P. to the sum of terms fromw tha+俨to (2n)th term is |
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| 6. |
Find real θ such that3+2isineiinis purely real |
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Answer» We know that, a complex number is purely real if its imaginary part is zero. Here, the given complex number = |
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| 7. |
7. Prove that in two concentric circles, the chord of the larger circle, which touchesthe smaller circle is bisected at the point of contact. |
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| 8. |
e 15 Find real θ such that3+2i sin01-2i sintis purely real. |
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| 9. |
Write the set A (1, 2,3,4,5,6,7) in the set buildey form |
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Answer» One of the way to write A in the set-builder form is following: A={x: x is a natural number; x≤7} |
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| 10. |
OBJECTIVE QUESTIONSkm against the correct answer in each of the following:1. The ratio 92: 115 in its simplest form is(a) 23:25(b) 18:23(c) 3:5(d) |
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Answer» simplest form = 92/115=3/5 is simplest form Given,Ratio is 92:115 To convert in simplest form find the HCF of 92 and 115 HCF of 92 and 115 = 23 Thus,92:115 = 4*23 : 5*23 Therefore, Simplest form is 4:5 |
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| 11. |
Find real θ such that3+2i sin1-2i sineis purely real |
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Answer» Part-1 For pure real imaginery part should be 0 We know that, a complex number is purely real if its imaginary part is zero. Here, the given complex number = |
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| 12. |
2) Find real values of O for whichis purely real.4+3i sin1-2i sino |
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Answer» Hint |
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| 13. |
(3*sqrt(11))*(6*sqrt(11)) |
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Answer» 198 solution √99= √3*3*11=3√11√396= √2*2*3*3*11= 6√11= √99*√396= 198 |
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| 14. |
e 7t 72:52 55 |
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Answer» 2x^3-12x^2+14; x+1=0; x=-1; 2(-1)^3-12(-1)^2+14=-2+12+14=10+14=24 24 is the correct answer |
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| 15. |
B, 7 RGN Uन. कि उप्र ण्र/रण्ण्दी पद eS Ay ’/’,,*/ कड़क के AR 7T | |
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| 16. |
5. Show that00-820) urey re(3+2i) (3-0 (2-3) (2+35) is purely real, |
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| 17. |
99. अन्तराल [-7, 7T] में समीकरण cos' x + sin x-1= 0 केवास्तविक हलों की संख्या है । |
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| 18. |
\frac{1}{\sqrt{6}+\sqrt{5}-\sqrt{11}} |
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| 19. |
Construct a tangent lo a circle of radius 4 1cm from a point on the concentric cicle ofradius 6 cm and measure its length. Also |verify the measurement by achual calculation. I· |
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| 20. |
Orthocentre and centroid of a triangle are A(-3,5) and B(3,3) respectively. If C isthe circumcentre and AC is the diameter of this cicle, then find the radius of thecircle |
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Answer» Like if you find it useful |
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| 21. |
Fig. 5.9Give a definition for each of the following terms. Are there other tiernas thadefined first? What are they, and how might you define thein?mlincsegparallel Bues(0) radius of a cicle() sjuare(ii) perpendicular lines |
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| 22. |
ŕ¤ŕ¤ż . \sqrt{23+\sqrt{528}}=2 \sqrt{3}+\sqrt{11} |
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Answer» Proof: RHS=2√3+√11 Square the RHS:(2√3+√11)^2 Apply (a + b)² = a² + 2ab + b²:RHS^2=(2√3)^2+2*2√3*√11+√11^2 =4(3)+4√33+11 =23+4√33 Write 4 as √16: RHS^2=23+√528 Square root it: RHS=√23+√528hence LHS=RHS |
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| 23. |
22. Find two rational numbers between 0 and 0.1. |
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| 24. |
Can you write set of the rational numbers, by listing elements in it |
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Answer» Set of rational numbers;)A = { 1/2,3/4,5/4,6/4}The elements of set A are 1/2,3/4,5/4,6/4OrA = { x : x € N , x is a rational number}yes we can |
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| 25. |
2tha t value ch ot_Ń |
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| 26. |
11. Find the real values of 0 for which the complex number1 + i cos θ- is purely real |
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| 27. |
If tan 0-13 Then findCate and cosec o |
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Answer» tan theta = root(3) tan theta = tan 60° Hence, theta = 60° Therefore,Cot theta = cot 60° = 1/root(3) Cosec theta = Cosec 60°= 2/root(3) |
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| 28. |
Find real values of \theta \text { for which } \frac{4+3 i \sin \theta}{1-2 i \sin \theta} is purely real. |
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Answer» If you like the solution, Please give it a 👍 |
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| 29. |
20. Find the area of the shaded region in the given figure, where a circular arc of radius 6 cm hasbeen drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre USE 22|76 cmA+--12 cm |
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| 30. |
v3 andv-3. [CBSE 2010,13)14. if α , β are zeroes of the quadratic polynomial p (x) xr_ (k-6)x + (2k + 1)1r if tha 1oroo of the nolvnomial25 k are the reciprocal of each other, then fsthe value of k if α + β-αβ, (CBSE 2010) |
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| 31. |
3 ^ { 2 / 3 } \times 3 ^ { 1 / 3 } \cdot ( i i ) ( 5 ^ { 1 / 2 } ) ^ { 6 } \quad ( i i ) \frac { 7 ^ { 4 } } { 7 ^ { 2 } } |
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| 32. |
(i) $ 8 m^{2}+10 m-3 \quad $ (ii) $ 5 t^{2}+7 t-6 $ |
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| 33. |
2Show that the line y - mx + c touches the elipse ahow that the line y = mx + c touches the ellipse-T + 12# 1 if c-a-m2 + b2 |
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| 34. |
each ifasses through the Lorthe Octha (then-.-_-The lemath of th cincle isdary |
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Answer» There is error in you question.Length of circle is an absurd term. the question might have been length of common chord. |
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| 35. |
cProve that opposite sides of a quadrilateralcircanseribing a circle subtend supplementaryangles at the centre of the cincle |
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| 36. |
A chord of s cincle is qual so the radius ofeecicle Find the angle hemded by the chodaa peint on |
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| 37. |
Find the value of m so that the following equations have equal roots(i) 2x2 - mx +1 0(iii) 3x2-6x + m = 0All) mx2 + 3x-5=0(iv) 2x2 + mx-1-0/ |
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Answer» if equation have equal too then there should be b*b = 4ac ii) 3*3 = 4*m*(-5) 9 = -20m m = -9/20 iii) (-6)*(-6) = 4(3)(m) 36 = 12m m= 3 |
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| 38. |
14. In the given figure, if WXYZ is cyclic quadrilateralwith respective angles. Then, the ratio of a and b is5b3: 3d. 1:3Sač¸ |
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| 39. |
solvefor a andy |
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Answer» 2x-y=6-----(1)3x-2y=4----(2) multiple by 2 in eq 1 2x-y=6----(1)3x-2y=3---(2)multiply by 2 in eq 14x-2y=123x-2y=3substrate 1 -2 x=9putting the value of X in eq 12x-y=62x+6=y2×9+6=y24=y |
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| 40. |
or addition, subtraction and multiplclosed for all operations - additiver, we cannot divide by zero.ctice Set 22rational numbers.11(iii) 713+ 19volving rational numbers.12-25 |
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Answer» 430/323 or in decimal 1.33 I love you so much jaan 11/17 + 13/19 =11(19)+13(17)/323 = 209 + 221/323 = 430/323 |
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| 41. |
4. Find the area of the following figure:11 m11 m11 m11 m11 m11 m11 m11 m11 m11 mstoricofthe following catefint |
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Answer» 121+121+121+121+121=605 |
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| 42. |
( 11 %2B \sqrt 11 ) ( 11 - \sqrt 11 ) |
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Answer» (11+√11)(11-√11)=(11)^2 - (√11)^2=121-11=110 11() |
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| 43. |
what tha mean of trc ni matrix??? |
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Answer» In linear algebra, thetraceof an n-by-n squarematrixA is defined to be the sum of the elements on the main diagonal okk thank you |
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| 44. |
20. is the centre of the circle which has a radius of 5.4 cm.The area of the shaded sector OAB is 21.6 cm2. Find the length of the minor arc AB |
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| 45. |
An arc of 10 cm length of circle subtends 60° angle at thecentre. Find radius of circle.(e) |
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| 46. |
arc of 10 cm length of circle subtends 60° angle at thecentre. Find radius of circle.(e) An |
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| 47. |
1. A chord of a circle of radius 8cm subtends an angle of 60°. Find the area of the minor segment. |
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Answer» Area = theeta/360°x( πr^2)60/360(22/7 Given, radius of circle (r) = 6 cm Angle of the sector (θ) = 60° Now, area of sector = (θ/360°) * πr2 = (60°/360°) * (22/7) * 62 = (1/6) * (22/7) * 6 * 6 = (22/7) * 6 = 132/7 cm2 |
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| 48. |
Find the length of arc of circle which subtends an angle of 108 at the center. Radius of circle is 15 cm. |
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| 49. |
Lines in the same plane that do not meet arecalled parallel lines. The figure shown below ismade of 5 lines a, b, c, d and e. Find the pair ofines that are parallel. |
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Answer» Zero pairs of line I see the last page were answer is a,b how to solve this problem a pair of parallel lines are those which form a 90° angle between them..... in this problem a and b are inclines at an angle of 90° ,this implies they are parallel to each other ... |
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| 50. |
(Ăş) the cost of plastering thiscurved surrace a8./ In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter5 cm. Find the total radiating surface in the system. |
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