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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. |
Solve eq for A 2 Cos 2 A = 1 |
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Answer» Thnx bro |
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| 2. |
Identify constant, linear, quadratic, cubic and quartic polynomithe following(1) 7+*(ii) 6y(iii) -(iv) 1-y-y (v) x-x+x (vi) 1+x+x^(vii) -6x? (viii) -13(ix) -PWrite |
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Answer» (1) quadratic (2) linear (3) linear (4) cube (5) cube (6) cube (7) linear (8) constant (9) linear i) linearii) lineariii) cubiciv) cubicv) quarticvi) quadraticvii) quadraticviii) constantix) linear |
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| 3. |
PageIAZILI1. then brovethata = 3-1 30 31an- 3m-' 3"|HEN |
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Answer» n-1+n-1+n-1=33n-3=33n=6 n=2 |
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| 4. |
Using Euclid's division algorithm, find HCF of 15 and 575. |
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Answer» Explanation Euclid division algorithm =a=bq+r 575=15×38+515=5×3+0so r=0 do the hcf of 15 and 575 is 5 |
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| 5. |
2. Simplify:7 14(iv) 9+IV3I)1vii) 3Vil7 21 |
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Answer» [24\7 ] \ [ 8\21]then, the second no. which is 8/21will reciprocal then we will multiply simply both the nos. thnx |
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| 6. |
e | (1) N-5 - -3 -VilS |
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| 7. |
2)Simplify:8 5 4vii) -+-+635vil) 96131246 |
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| 8. |
Mathematics for CAdd the following rational numbers:on andandm -3 and(vilN Nowcvi-Jg andmplify:O-8, -4o3 |
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Answer» -12/5 is the right answer -12/5 is the right answer -12/5 is the right answer -12/5 is the correct ans 3/4+(-5/8)=6-5/8=1/8is the best answer -3+3/5=-15/5+3/5=-12/5is the best answer -12/5 is the correct answer the champran movement was against the..... -12/5 the correct answer of the given question -12/5 is the best answer -12/5 is the right answer -12/5 is the right answer |
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| 9. |
218Mathematics VIlExercise -9.1t. Divide the given shapes as instructed(i) into 3 rectangles(ii) into 3 rectangles(i |
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| 10. |
Examp2 Find the veroes of the quadratic polynomiarelationship between the zeroes and the cocfficientsthe quadratic polysomial *1x + 10, and ventyr |
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Answer» x^2+7x+10=x^2+5x+2x+10= x(x+5)+2(x+5)=(x+5)(x+2) |
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| 11. |
If a and ß are the zeros of polynomia2x2 - 5x57, then find the quadraticpolynomial of the following whose20108 areLalat B and a Band B?LB |
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Answer» ans......... (a).. 3x-6 and x-8 (b)...x²+1/2x-7 and 2(2x²-7) /x+1 α² +β² can be written as (α +β)² - 2αβ p(x) = 2x² - 5x + 7a = 2 , b =- 5 , c = 7 α andβ are the zeros of p(x) we know that ,sum of zeros =α +β = -b/a = 5/2 product of zeros = c/a = 7/2 2α + 3β and 3α + 2β are zeros of a polynomial. sum of zeros = 2α + 3β+ 3α + 2β = 5α + 5β = 5 [α +β] = 5× 5/2 = 25/2 product of zeros = (2α + 3β)(3α + 2β) = 2α [3α + 2β] + 3β [3α + 2β] = 6α² + 4αβ + 9αβ + 6β² = 6α² + 13αβ +6β² = 6 [α² +β² ] + 13αβ = 6 [ (α +β)² - 2αβ ] + 13αβ = 6 [ ( 5/2)² - 2× 7/2 ] + 13× 7/2 = 6 [ 25/4 - 7 ] + 91/2 = 6 [ 25/4 - 28/4 ] + 91/2 = 6 [ -3/4 ] + 91/2 = -18/4 + 91/2 = -9/2 + 91/2 = 82/2 = 41 -18/4 = -9/2 [ simplest form ] a quadratic polynomial is given by:- k { x² - (sum of zeros)x + (product of zeros) } k {x² - 5/2x + 41} k = 2 2 {x² - 5/2x + 41 ] 2x² - 5x + 82 is the required polynomial |
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| 12. |
18. The roots x, and x, of the equation x2 +px+12 = 0possess the property x - x = 1, then the value of p is.1)+7 2 ) #6 3) +5 4) £4. |
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| 13. |
es of the cubic polynomia!areplx)-3r-coefficients5x-11x-3, aad then verify the relationship between the zerocs an |
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Answer» By putting these values we can verify we will get 0 If 3, - 1, and - 1/3 Are zeros of polynomial 3x^3 - 5x^2 - 11x - 3 Polynomial is of form ax^3 + bx^2 + cx + d Then, sum of zeros= 3 + (-1) + (-1/3) = 5/3= - b/a Sum of product of pair of zeroes= 3*-1 + - 1*-1/3 + 3*-1/3= - 3 + 1/3 - 1= - 4 + 1/3 = - 11/3 = c/a Product of zeroes= 3*-1*-1/3 = 1= - d/a |
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| 14. |
8. I find the degree of polynomi(;) fe(x) = x3 + 2x2 + 5x + 9 |
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Answer» Degree of polynomial is highest power present in the polynomial. so for given polynomial degree is 3. |
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| 15. |
कि...दिए हुए बहु८ और e R जाएँगे अतः. दि%2 ,—«/"2,2—l और 1 हैं।प्रश्नावली 2.3विभाजन एल्गोरिथ्म का प्रयोग करके, निम्न में (2) को & 00 से भाग देने पर भागशेषफल ज्ञात कीजिए :D p=r-32+55-3, gm=x-2 व() px)=x'-37+45+5, g)=r+1-xvfifi)/‘ px)=x'-5x+6, g =2-2 |
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| 16. |
नलिखित स्थितियों में संगत बहुपद के शून्यक हैं:G e = 5_4i) px)=x+1)(x-2); x=-1,2 |
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Answer» ii) p(x) = 5x - pi p(4/5) = 5 × (4/5) - pi = 4 - pi x = 4/5 shunya nahi hai iv) p(x) = ( x + 1) ( x - 2) jab x = - 1 p(-1) = (-1 + 1)( - 1 - 2) = 0 × (-3) = 0 x = - 1 shunya hai jab x = 2 p(2) = ( 2 + 1) ( 2 - 2) = 3 × 0 = 0 x = 2 shunya hai Kya hai ye answer samaj me nhi aa rha pls math me likho |
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| 17. |
i) px)=x-3x+5x-3, |
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Answer» p(0)=0*0*0-3*0*0+5*0-3p(0)=0-3*0+0-3p(0)=-3*0+(-3)p(0)=-0-3p(0)=-3 *=multiply (multiply sign are not available in my mobile keyboard) |
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| 18. |
4Venify that 1,-1 and -3 are the zeroes of the cubic polynomiacheck the relationship between zeroes and the coefficients. |
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Answer» put in the values in the equation1^3+3{1)^2-1-3=1+3-1-3=0hence 1 is a root(-1)^3+(-1)^2-(1)-3=-3+1-1+3=0hence -1 is a root(-3)^3+3(-3)^2-(-3)-3-27+27+3-3=0hence -3 is also a root |
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| 19. |
at A, find the value of a.,-1).of a circle is (2u-1, 3 α + 1) and it passes through the point (-3thevalue (s) of α if a diameter of the circle is of length 20 units |
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| 20. |
(a) There are ____.hundreds in 30000 |
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Answer» There are (30000/100)=300 hundreds in 30000. |
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| 21. |
If-3 is the zero of the polynomiat(x) = 2x2-(a+ 1) x(A)-3+ 4a then value of a is(B) 0(C) 1(D) 2 |
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Answer» put in -3 in the polynomial and equate it to 0hence2(-3)^2-(a+1)(-3)+4a=02*9+3a+3+4a=021+7a=0a=-3 |
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| 22. |
\left. \begin{array} { r } { 32 } \\ { \times 4 } \\ \hline \end{array} \right. |
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Answer» 32×4=32+32+32+32=64+64=128 2×4=83×4 = 12ans =128 |
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| 23. |
SSIGNMENT FOR MATHIEON POLYNOMIApolynomi Zenes of the follo |
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| 24. |
2. Which of the following expressions are not polynomials?(a) '33-4 |
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Answer» a) and c) are not polynomial due to negitive and fraction power of variable. |
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| 25. |
Find the sum and product of zeros of the quadratic polynomia3x2-4x+7 |
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| 26. |
Before onetean-age of father İst4timu0more thex age of his sen after yearymore, than his Son : fmd rabotheir age |
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| 27. |
Write the coefficient of m in the following polynomiam^{3},-\frac{3}{2}+m-\sqrt{3} m^{3} |
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Answer» in m*m*m coefficient is 1 in -3/2+m-root(3)m*m*m coefficient is -root(3) |
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| 28. |
the voluime of a block of gold is 0.5 m3. If it is hammered into a sheet to cover an area ofT bectare find the thickness of the sheet.hiciess of the sheer-le/0.50.5x 1001x 10 .mrnrea10000一一1mm |
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| 29. |
2. Vivek borrowed + 30000 from a bank at 9% pa for 4 years. He lent this sum of meerTanuj at 12% pa for the same period. How much did Vivek gain in this transaction |
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Answer» Interest Vivek has to pay = (P*I*R)/100=(30000*9*4)/100=10800Interest Tanuj has to pay to Vivek = (30000*12*4)/100 = 14400 Gain = 14400 - 10800 = 3600 |
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| 30. |
He lent this sum of thewo. Vivek borrowed 3 30000 from a bank at 9% p.a. for 4 years. He lent this suTanuj at 12% p.a. for the same period. How much did Vivek gain in this trans |
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Answer» Interest Vivek has to pay = (P*I*R)/100=(30000*9*4)/100=10800Interest Tanuj has to pay to Vivek = (30000*12*4)/100 = 14400 Gain = 14400 - 10800 = 3600 |
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| 31. |
Y - g n™ $erus § au AP (:n-fl)Lhiwee HAerwe . |
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Answer» For AP nth term is (2n+1) First term = (2*1 + 1) = 3Second term = (2*2 + 1) = 5Third term = (2*3 + 1) = 7 Sum of first three terms= 3 + 5 + 7 = 15 |
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| 32. |
2u16. Find the produet 24x2 (1-22) and evaluate its value for r 32 |
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| 33. |
\cot \theta-\tan \theta=\frac{2 \cos ^{2} \theta-1}{\operatorname{sen} \theta \cos \theta} |
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Answer» (2cos²θ - 1)/(sinθcosθ) = cotθ - tanθ LHS =(2cos²θ - cos²θ - sin²θ)/(sinθcosθ) ∵ 1 = cos²θ + sin²θ (cos²θ - sin²θ)/ sinθcosθ Dividing throughout by cos²θ = (1 - tan²θ)/tanθ = cot θ - tanθ = RHS Hence Proved |
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| 34. |
a factory announces a bonus of 10% to its employee gets ₹ 10780, find his actual salary? |
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Answer» 6y 😡😐 u |
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| 35. |
foem a metal shoes, How manyare minties of the sheer arre menasasred free sen- |
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| 36. |
D. Twenty seven solid iron spheres each ofradius r and surface area S are melted toform a sphere with surface area S' then ratioof S and S' is |
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| 37. |
Is the luThe sum of the ages of twoin years was 48.s it possible to design a rectangular park of perimetieiĂźer 80 m and area 400 m2? If so, findits length and breadth. |
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| 38. |
5. Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, findits length and breadth. |
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Answer» Let the length and breadth of the park be l and b.Perimeter = 2 (l + b) = 80l + b= 40Or,b= 40 -lArea =l×b = l(40 - l) =40l-l240l- l2= 400l2-40l+ 400= 0Comparing this equation withal2+bl+c= 0, we geta= 1,b= -40,c= 400Discriminant =b2- 4ac(-40)2- 4 × 400= 1600 - 1600 = 0b2- 4ac= 0Therefore, this equation has equal real roots. And hence, this situation is possible.Root of this equation,l= -b/2al= (40)/2(1) = 40/2 = 20Therefore, length of park,l= 20 mAnd breadth of park,b= 40 -l= 40 - 20 = 20 m. |
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| 39. |
5. Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, find its length andbreadth. |
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| 40. |
Theorem 10.2 : The lengths of tangents drawnfrom an external point to a circle are equal.Proof : We are given n au |
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| 41. |
() 7v5(ii) 2+ v3(v) 753v8(vi) (8+ v23)- 23 (vii) 3V8(ii) N2+ 21(vi) 2π(ix) 2-2(iv) π-2VIlVill)v2 |
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Answer» Apologies we are currently taking questions in English language only |
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| 42. |
30 Excellnce in Mathematices-VilASSIGNMENT 2.11. Multiple Choice Questions (MCQ)Choose the correct option.(i) 111 is divisible by(a) 2(c) 7(d) 11 |
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| 43. |
6.7.There are 15 helmets and 29 hats in a shop. What is the ratio of hats to helmets ? |
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| 44. |
In an office 20 clerks get a salary of Rs 2 500 each and 10 officers get a salary of Rs 4 000each. Find the average salary of the employees in the office. |
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Answer» 20*2500 + 10*4000 / 10+20 = 50000 + 40000 /30 = 90000/30 = 3000 |
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| 45. |
D-3vertical tower stands on a horizontal plane and is surmounted by a verticalAt a point on the ground, the angles of elevation of the bottom and the top ot thenon-atand β respectively. Prove that the height of the tower is tanp-tanadiAll the vertices of a rhombus lis on a niu |
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| 46. |
14.In an office 20 clerks get a salary of Rs 2 500 each and 10 officers get a salary of Rs 4 000each. Find the average salary of the employees in the office. |
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| 47. |
figure, PQ divides ZSPR in the ratio 1:3 and PQ - QS. Determinethe giv108° |
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| 48. |
1 The element which is mainly electroplated on carparts, bath taps, bicycle's handlebars etc., to giveshiny appearance is(1) Zinc(3) Chromium(2) Aluminium(4) Copper |
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Answer» option 3 is the correct answer because chromium does not gets corroded due to the action of oxygen |
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| 49. |
4.2Write the terms of each of the expressions giv(a) 3a5 +5b4-7a b +9 |
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Answer» In any general equation how to identify terms and expressions |
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| 50. |
Side =Perimeter =Area = 400 m2om |
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