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. |
dydx, when x-a cos t, y a sin t. |
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| 2. |
EXERCISE9.5Use a suitable identity to get each ofthe following products.(x+3)(x+3)(2y +5) (2y+5) |
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26. Use suitable identity to get each of the following products.i) (2y+ 5) (2y +5)i) (6x + 7) (6x -7) |
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Answer» 1)(2y+5)(2y+5)=(2y+5)^2(a+b)^2=a^2+b^2+2abhence4y^2+25+20y2)(6x+7)(6x-7)(a+b)(a-b)=a^2-b^2hence(6x)^2-7^2=36x^2-49 Thanks |
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| 4. |
1. Find the following by using Identity-l.(i)(2x + 5)2(ii)(8x + 3y)2liv)(7pq + 4ab)2(v) (0.2x +1.5y)22. Evaluate the following by using Identity-I.() (101)2(iv) (203)2(ii) (52)2(v) (410)2 |
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Answer» (2x+5)² = 4x²+10x+25 Find the following by using by identity 1 (8x+3y) 2 |
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Using identity, find the value of the following(0) 25x +60xy +36y, ifx--1,y-24.Itsing identity, evaluate the foll |
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Answer» thanks a lot But not sure |
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| 6. |
Evaluate the following by using Identity-. |
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| 7. |
Evaluate the following by using Identity-I(0) (101)2 |
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Answer» 1)(101)²=(100+1)²=100²+1+2×100×1=10000+201=10201 2)(52)²=(50+2)²=50²+2²+2×50×2=2500+4+200=2704 |
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| 8. |
Worksheet 21. Simplify:(i)1 5x2xx2 |
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Answer» x^3 is the correct answer of the given question |
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| 9. |
Downloaded from www.studiestoday.comName 11 dellaRoll No.(Class-VT)IMath SA-ITWorksheet - 8Class VIChapter - 7 (Fractions)1. Fill in the blanks by using >,<or in the following to make correct statements,²0102.Match the following:0Mixed FractionProper FractionImproper fractionShape the figures for the fraction given below it.3./1/4ΔΔΔΑAAAA 7/12AAAA3/45.Write next three fractions equivalent to6.Simplify:7. Draw at number line8. Write in unending order.9. Write 15 in simplest form.Downloaded from www.studiestoday.com |
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Answer» (1) a = <b=<c= =(2) I = improper fractioii = proper fraction iii = mixed fraction like please |
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| 10. |
Worksheet 3Find the square root of each of the following by prime factorisation.Š 225(ii) 441(i) 529(iv)(v) 7744 (vi) 8281 (vii) 4096(viii)4000028900 |
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| 11. |
3. हल कीजिए श् =cos (x +y).dy _Solve == = cos (x+y). |
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Answer» Like if you find it useful |
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| 12. |
10. A carpet of size 5 m x 2 m has 25 cm wide red border. The inner part of the carpetis blue in colour. Find the area of blue portion. What is the ratio of the areas of redportion to blue portion?o55 m |
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Answer» Please like the solution 👍 ✔️👍 |
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| 13. |
6. Findyog (cos xdydx |
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| 14. |
If y=sin x, then dy is equal to1 + COS Xdx |
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Answer» this is not correct answer this is not correct answer |
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| 15. |
\left. \begin{array} { l } { f ( x ) = x - 2 , g ( x ) = x ^ { 2 } + 3 x + 1 } \\ { f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { x - 2 } { x + 2 } } \end{array} \right. |
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Answer» put the value of x in given equation 1) fog(x) = (x²+3x+1)-2 = x²+3x-1 gof(x) = (x-2)²+3(x-2)+1 2) fog(x) = x+2/x-2. gof(x) = 1/x-2/(1/x+2) = 1-2x/(1+2x) |
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| 16. |
7= â, evaluate:8in6) (1-sin 6) |
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Answer» hit like if you find it useful |
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| 17. |
12. Find (r + y) = (x - y), if13. Evaluate (x + y) * (ty), if x = and y= |
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Answer» 12)x=2/3 ; y= –1/4(x+y)=2/3+(-1/4)=2/3-1/4=5/12x+y= 5/12 ✔x-y=2/3-(-1/4)=2/3+1/4=11/12x-y=11/12✔ therefore (x+y)÷(x-y)=(5/12)÷(11/12)=(5×12)/(12×11)=5/11✔✔or(x+y)÷(x-y)(2/3-1/4)÷(2/3+1/4)=5/11 (2)x=–2/5 ; y=3/4(x÷y)= -(2/5)÷(3/4)=-(2×4)/(5×3)=–8/15✔xy=–2/5 × 3/4=–6/20=–3/10✔ therefore (x÷y) × XY=(–8/15 )× (–3/10)=4/25✔ or(x÷y)× xy(-2/5÷3/4)× (-2/5)×3/4=4/25 |
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| 18. |
\lim _{x \rightarrow 0} \frac{\sin a x}{b x} \quad, \quad \gamma_{4}, \lim _{x \rightarrow 0} \frac{\sin a x}{\sin b x}, a, b \neq 0 |
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Answer» sinx/x=1 iyea formula to mujeh Kahi nahi mila tha friend!iye formula kis series ka hea?? |
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| 19. |
\lim _{x \rightarrow 0} x^{2} \sin \frac{1}{x}=0 |
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| 20. |
12. 67 +33 +33 +67 is an example of(a) closure property(c) commutative property(b) associative property(d) distributive property |
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Answer» (c) commutative property commutative property (c) |
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| 21. |
Find $\lim _{x \rightarrow 0} f(x)$ and $\lim _{x \rightarrow 1} f(x),$ where $f(x)=\left\{\begin{array}{cc}{2 x+3,} & {x \leq 0} \\ {3(x+1),} & {x>0}\end{array}\right.$ |
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| 22. |
\lim _{x \rightarrow 0}\left(\frac{x^{2}}{e^{x}}\right) ;(0, \infty) |
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Answer» lim x-> 0 (x^2/e^x)=(0)^2/e^(0)=0/1=0 |
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| 23. |
Example 6 in Fig. 6.27,AB lI CD and CD l EF. Also EA LAB, If 4 BEF 55°, findthe values of a, y and z |
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Answer» 1 2 |
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| 24. |
\lim _{h \rightarrow 0} \frac{\sqrt{x+h}-\sqrt{x}}{h}, x \neq 0 |
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Answer» by taking h=0 we will get 0/0 form so using L'hospital rulelim h->0 1/2root(x+h) - 1/2root(x)=1/2root(x)-1/2root(x)=0 Bdiya blue pen say likh kar bhejo |
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| 25. |
1. In the above example, cΔ ABD first and then fir2. Can you construct a quacm, PS-7.5 cm, PR = 8EXERCISE 4Construct the following quadrilat(i) quadrilateral LIFT1.LI 4 cmIF = 3cmTL-2.5 cmLF 4.5 cmIT 4 cm |
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| 26. |
\lim _ { x \rightarrow 0 } \frac { \sin a x } { \sin b x } , a , b \neq 0 |
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| 27. |
3. Evaluate:(0(0.04) |
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Answer» 0.008 is the answer. If any doubt, check it in the calculator. Thank you. Have a nice day. all comment is right bro answer is 0.008 |
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| 28. |
Evaluate(I) 8 ! |
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Answer» 8! = 8×7×6×5×4×3×2×1 = 40320 |
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| 29. |
Evaluate :(8) |
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| 30. |
8(Evaluate:) \int_{2}^{8}|x-5| d x |
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| 31. |
Evaluate : 5P3 and P(8, 5) |
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Answer» nPr=n!/(n-r)!5P3=5!(5-3)!=5!/2!=5*4=20 P(8,5)=n!/(n-r)!=8!/(8-5)!=8!/3!=8*7*6*5*4=6720 |
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| 32. |
If log(x+y/3)=1/2 log(log x+ log y) then find the value of X/Y-Y/X |
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Answer» log [ ( x + y )/3] = 1/2 ( logx + logy) 2× log[ ( x + y )/3 ] = log x + log y log [ ( x + y ) / 3 ]^2 = log xy { since i ) n log a = log a^n ii ) log a + log b = log ab } Remove log bothsides, [ ( x + y ) / 3 ]^2 = xy ( x + y )^2 / 3^2 = xy x^2 + y^2 + 2xy = 9xy x^2 + y^2 = 9xy - 2xy x^2 + y^2 = 7xy Divide each term with xy x^2 / xy + y^2 / xy = 7xy / xy x / y + y / x = 7 x/y+y/x=7njsee h Texas o Saturday |
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| 33. |
If log,x log,16, then find x. |
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Answer» logx/log2= 2 logx=2×log2logx=log4x=4 |
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| 34. |
17. In the figure given below, p lI q and r li s. Find the values of x, y and z.l1x +560°136°- 8y |
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Answer» 11x + 5 = 60(corresponding angles)11x = 60 - 5 = 55 x = 560 + 2z = 180 2z = 180 - 60 2z = 120 z = 602z = 136 - 8y(vertically opposite angle)120 = 136 - 8y 8y = 136 - 120 = 16 y = 2 |
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| 35. |
find the value of x if 3 log 2+1/3 log 27-log4=log x |
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Answer» The numbers log 2, log (2x − 1) and log (2x + 3) are in A.P. ∴log (2x−1)−log 2 = log (2x+3)−log (2x−1)⇒log (2x−12)=log (2x+32x−1)⇒2x−12=2x+32x−1⇒(2x−1)2=2(2x+3)⇒22x+1−2.2x=2.2x+6⇒22x−4.2x−5=0 Let 2x=y.⇒y2−4y−5=0⇒(y−5)(y+1)=0⇒y=5 or y=−1∴2x=5 or 2x=−1 (not possible)Taking log on both the sides, we get: log 2x=log5⇒xlog2=log5⇒x=log 5 log 2=log2 5⇒x=log2 5 |
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| 36. |
What is the zero of the zero polynomial ? |
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Answer» The constantpolynomialwhose coefficients are all equal to 0. The correspondingpolynomialfunction is the constant function with value 0, also called thezeromap. Thezero polynomialis the additive identity of the additive group ofpolynomials values that makes our function = 0 |
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| 37. |
Find the zero of the zero polynomial. |
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Answer» A zero polynomial is a polynomial which has no variables. So it is not possible to find the zero of a zero polynomial. |
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| 38. |
VistilExponents(Name31Evaluate :. Evaluate : 0° -6° 03-5 x10-5x125Simplify :5-2 X6-5372Evaluate : *T*x0+(3) |
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| 39. |
1. Evaluateul)2. Evaluate:3 (33. Evaluate |
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Answer» 625/81 is the correct ansswer |
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| 40. |
Sum of zero 8/5, product of zero=3/5 |
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Answer» Any Equation having zeroes a and b can be written as(x-a)(x-b) = x² - (a+b)x + abx² - 8x/5 + 3/5 = 0multiply by 55x² - 8x + 3 = 0 |
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| 41. |
EvaluateEvaluate0-6* |
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Answer» =(3³-2³) ÷4³= (27-8) ÷4³= 19/64 |
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| 42. |
हि. 2y 4 y_)_L_\+‘~L——cui |
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Answer» (x² - 2xy + y²) - z² ( x - y)² - z² ( x - y - z) ( x - y + z) |
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| 43. |
\frac { 4 x - 5 x ^ { 2 } + 6 x ^ { 3 } } { 2 x } \quad ( 11 ) y ^ { 2 } ( y - y ^ { 3 } ) |
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| 44. |
3. Evaluate (2)3. EvaluateA. |
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Answer» (-2/3)^-3= (-3/2)^3= -27/8 = (4/27)^-2= (27/4)^2= (-27/8)/(45.56)-3.3/45.56-0.07 |
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| 45. |
EvaluateEvaluate cuwit 8 d. |
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| 46. |
225 x (-4) |
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Answer» 225×(-4)=-900 answer |
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| 47. |
iIfy=x", find 7dx |
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| 48. |
ii.Ify=tan? (log x), find out |
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Answer» cosec x is the correct answer of the given question |
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| 49. |
Ify=al/2 log: sx.find dydx |
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| 50. |
3. Why is excreiol all U3How does transpiration help in the ascent of sap in plantsits various events. |
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Answer» Evaporation of water molecules from the cells of a leaf creates a suction which pulls water from the xylem cells of roots. Thus,transpiration helpsin the absorption and upward movement of water and minerals dissolved in it from roots to the leaves |
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