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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.
| 1. |
Show that underroot 3+ underroot 5 is an irrational number |
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| 2. |
watching from the top of a 90 metres high light house , the measure of the angle of depression of a boat in the sea is 60 . then, the distance between the boat and the light house is.....metres A.45B.90 underroot 3C.30 D.30 underroot 3 |
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Answer» option D |
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| 3. |
What is the realtion between square root and underroot |
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Answer» Under root can be used for nth root, however, square root can only be used for 2nd root. All square roots are under roots, but all under roots are not sqaure roots. ... However, under root of 729 to the power 3 cannot be written as square root |
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| 4. |
2(ii) fa |
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Answer» ∫x^2 dx /(1 + x^6) let x^3 = u3 x^2 dx = dux^2 dx = (1/3) du 1/3∫ du /(1 + u^2) = (1/3)tan^-1(u) + C = (1/3)tan^-1(x^3) + C |
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| 5. |
50. The area of rectangle is 5(y +3) (-16).-y 12). What is itsIt's one side is 5other side?, |
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Answer» Area =Length*breadth5(y+3)(y²-16)=5(y²-y-12)*breadth 5(y+3)(y+4)(y-4)=5(y²+3y-4y-12)*breadth 5(y+3)(y+4)(y-4)=5(y(y+3)-4(y+3))*breadth 5(y+3)(y+4)(y-4)=5(y+3)(y-4)*breadth y+4=breadth |
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| 6. |
14. Find the cost of flooring a room 6.5 m by 5 m with square tiles of side 5the rate of R9.40 per tile. |
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Answer» Length and breadth = 6.5 and 5 in marea=6.5 ×5 m^2now area of square tiles = 25 × 25 /100×100by changing into m no. of tiles = area of floor/ area of tiles= 6.5 ×5×100×100/25 ×25= 520 tilescost = 520 × 9.40 rupee= 4888 rupee |
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| 7. |
Find the area of an isosceles right triangle having the length of each equal side 5 cm. |
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Answer» Length of equal side is 5cm So, area of isosceles Right triangle is (1/2)side*side=(1/2)*5*5=25/2=12.5cm^2 |
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| 8. |
2. Divide a line segment of 7cm internally in the ratio 2:3. |
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Answer» Śtep 1 - draw Ray AC making an acute angel with AB. Śtep 2- starting with A, mark of 5 points C1, C2, C3, C4, C5 at equal distance from the point A. Śtep 3- Join C5 and B. Śtep 4- Through C2 (I. e the second point), draw C2 and D parallel to C5 B meeting AB in D. Then D is required points, which divides AB segment into 2:3 part. |
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| 9. |
draw a line segment of length 3.8cm and divide it internally is the ratio of 2: 3 |
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Answer» Let X be the common multipleHence2x+3x=3.8cm5x=3.8x=3.8/5=0.76cmhence2x=2*0.76=1.52cm3x=3*0.76=2.28cm |
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| 10. |
Draw a line segment of length 6.7 cm and divideit into the ratio of 2: 3 internally. |
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| 11. |
Ho w to balance theequation |
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| 12. |
how many irrational no. lie b/w underroot 2 and 3 write any two of them |
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| 13. |
3:Find the area of a trapezium whose parallel sides are 25 cm, 13 cm athe other sides are 15 cm each. |
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| 14. |
13Find the area of a right angled triangle ABC if the radius of its circumcircle is 3 cm andaltitude drawn to the hypotenuse is 2 cm.3 cmcm |
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Answer» Find are by heron's formula Area |
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| 15. |
1.onstruct an equilateral triangle of side 5.5 cm.DDm What tyne of triangle |
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Answer» I will thank u sooo much |
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| 16. |
ܢ20_ (2)_(fat) (-)ܗ | ܩܗ | ܩܚ |
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| 17. |
3. In given Fig., ABC is a triangle in which ABC>90° and AD CB produced. Show that AC-ARPBC2+2 BC. BD. |
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| 18. |
2.In Δ ABC, AD is the perpendicular bisector of BC(see Fig. 7.30). Show that A ABC is an isoscelestriangle in which ABACFig. 7.30 |
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| 19. |
In Δ ABC, AD is the perpendicular bisector of BC(see Fig. 7.30). Show that Δ ABC is an isoscelestriangle in which AB =AC.rig. AFig. 7.30 |
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| 20. |
ABC is a triangle in which altitudesBEandCFtosides AC and AB are equal (see Fig. 7.32). Show(ii)ABAC, i.e., ABC is an isosceles triangle.Fig. 7.32 |
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| 21. |
Draw an equilateral triangle with length of sides as 6 cm. |
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| 22. |
ce of theirouching internallyng rodis om and 48 cm touch eacheemadi 5.5 cn odtheir centescircles are 4 m d |
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| 23. |
a plus b ca hall square |
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Answer» (a+b)^2= a^2+b^2+2abHit like 👍 |
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| 24. |
23. A bird is sitting on the topofa 80 m high tree. Froma point on the ground, the angle of elevation of a bird is45. The bird flies away from the point of observation horizontally and remains at a constant height. After 2seconds, the angle of elevation ofthe bird from the point of observation becomes 30° Find the speed of flyingof the bird. (Use y3 1.7) |
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Answer» Like my answer if you find it useful! |
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| 25. |
. A bird is sitting on the top ofa tree, which is 80 m high. The angle of elevation of thebird, from a point on the ground is 45°. The bird flies away from the point of observationhorizontally and remains at a constant height. After 2 seconds, the angle of elevationof the bird from the point of observation becomes 30°. Find the speed offlying of thebird. |
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Answer» hit like if you find it useful |
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| 26. |
x^{2} y^{3}=(x+y)^{5}, then dy/dx = |
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| 27. |
what is the formula of a plus b whole square |
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Answer» what's ur name |
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| 28. |
यदि बंप 0 = 3/5 द हो, तो cos Q और tan Q का मान बताइए। |
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| 29. |
ATHEMATICS QUESTIONS FOR BOARD EXAM. (2018-20The nth term of an A.P. is 6n 2. Find the common difference. |
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Answer» nth term of AP= 6n+21st term(n=1)=6(1)+2=6+2=82nd term(n=2)=6(2)+2=12+2=14 Common difference,d= 2nd term-1st term=14-8=6 |
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| 30. |
If 2 sin x° -10 and x is an acute angle; find:(i) sin x° (ii) x (ii) cos x° and tan °(iii) cos x' and tan xoii)x° |
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Answer» Given : x is acute angle2sin(x) - 1 = 0 sinx = 1/2 ii) x = 30° as sin(30°) = 1/2 iii) cos(30°) = √3/2 and tan(30°) = 1/(√3) |
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| 31. |
If y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots \ldots \infty}}}, find dy/dx. |
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| 32. |
find the value of intregel of sin x/sin(x-a) |
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| 33. |
2Ina the base of the equilateral triangleside of an equilateral triangs. If each sideh of each side and its area.15 increased by 2 cm, then its area inereannil3 13 cm". Findperimeter of a triangle is 60 |
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| 34. |
(a) 2c2. In the Fig., ABC is an equilateral triangle and PQRSis a square of side 1.2 cm. If both have same perimeter,side of the equilateral triangle is(b) 2.1 cm(a) 1.2 cm(c) 1.8 cmS1.2 cmd 1.6 cmwire is required for fencing |
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Answer» please like my answer if you find it useful |
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| 35. |
Draw equilateral triangle with side 6.5 cm. |
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Answer» Use fact all angles of equilateral triangle is 60°. Step 1: Draw a line AB of length 6.5 cm using ruler. Step 2 : Draw 60° on point B then cut a 6.5 cm length on it using rounder name it C. Step 3 : Join A to C. Step 4 : Required triangle ABC is equilateral. |
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| 36. |
EXERCISE 12.1The traffic signal board indicating "SCHOOL AHEAD" is an equal side 'a'. Find the area of the signal board using Heron's formula 80 cm what will be the area of the signal board ? |
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Answer» 1 2 3 |
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| 37. |
A traffic signal board, indicating SCHOOL AHEAD, is an equilateral triangleside 'a. Find the area of the signal board, using Heron's formula. If its180 cm, what will be the area of the signal board? |
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| 38. |
A traffic signal board, indicating sCHOOL AHEAD, is an equilateral triangle withside 'a'. Find the area of the signal board, using Heron's formula. If its perimeter is180 cm, what will be, the area of the signal board? |
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| 39. |
A traffic signal board, indicating SCHOOL AHEAD', is an equilateral triangle withside 'a'. Find the area of the signal board, using Heron's formula. If its perimeter is180 cm, what will be the area of the signal board? |
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Answer» Like if you find it useful |
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| 40. |
Be= tan Q = 5I find = sino + CaseBino - Gaso |
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| 41. |
3. Find the measure of an angle which isi. equal to its complementii. 140 more than its complementv. one-half of its complementvii. one-fifth of its supplementix. 300 more than one-half of its complementIX. |
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| 42. |
15. List the coefficients of x in the expressionX-7x*y. |
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Answer» coefficient of x in x-7x²y is 1. not completely understanding |
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| 43. |
5. In an A.P., if pth term is and qth term isprove that the sum of first pq |
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| 44. |
\begin{array}{l}{\text { Verify the algebruc expression }} \\ {(x+y)^{2}=x^{2}+y^{2}+2 x y}\end{array} |
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| 45. |
---we thoreThe water acidity in a pool is considered normal when the average pH reading of threeily measurements is between 7.2 and 7-8. If the first two pH readings are 7-48 and 7-85,find the range of pH value for the third reading that will result in the acidity level beingnormal. |
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Answer» the range is 6.27 to 8.07 |
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| 46. |
original average speed?24. The sum of four consecutive numbers in ar AP is 32 and the ratio of the product of the first and the last term toproduct of the first and the last term tothe product of two middle terms is 7:15 find the numbers.TCA |
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| 47. |
In an AP, if the common difference (d) -4, and the seventh term (a.,) is 4, then find thefirst term.вС ~ Δ PQRt.afPQ=t.ที่ไ er-m Δ PQR羽ar Δ ABC3, then find ar Δ PQRADven Δ ABC ~ Δ POR, if= |
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Answer» Like my answer if you find it useful! |
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| 48. |
4. The sum of four consecutive numbers in ar AP is 32 and the ratio of the product of the first and the last term tothe product of two middle terms is 7: 15 find the numbers. |
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Answer» Let the four consecutive numbers in AP be (a - 3d), (a - d), (a + d) and (a + 3d)So, according to the question.a-3d + a - d + a + d + a + 3d = 324a = 32a = 32/4a = 8 ......(1)Now, (a - 3d)(a + 3d)/(a - d)(a + d) = 7/1515(a² - 9d²) = 7(a² - d²)15a² - 135d² = 7a² - 7d²15a² - 7a² = 135d² - 7d²8a² = 128d²Putting the value of a = 8 in above we get.8(8)² = 128d²128d² = 512d² = 512/128d² = 4d = 2So, the four consecutive numbers are 8 - (3*2)8 - 6 = 28 - 2 = 68 + 2 = 108 + (3*2)8 + 6 = 14Four consecutive numbers are 2, 6, 10 and 14 |
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| 49. |
It sinoFind the value of Ctano + secos |
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Answer» nhi ATA hai solved the question If sin theta = 3/5cos theta = sqrt(1 - sin^2 theta)= sqrt(1 - 9/25)= sqrt(16/25)= 4/5 Therefore, Value of(tan theta + sec theta)^2 = (sin theta/cos theta + 1/cos theta)^2= ((3/5) / (4/5) + (1/4/5))^2= (3/4 + 5/4)^2= (8/4)^2= 2^2= 4 This content has been hidden because moderator marked it as spam. |
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| 50. |
In an AP, if the common difference (d)-4, and the seventh term (ar) is 4, then find the first |
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