This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 67151. |
146000 candidates anof which 60%didates appeared in an examinationwhich 60% were boys. If 12% of thes and 14% of the boys failed in theexamination, find the following:. The number of successful candidates. The percentage of successful candidates |
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| 67152. |
1 Shoto that the system of equationshas a unique solution. Find the solution |
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| 67153. |
Line 1 : y.=-x-2This system of equations is: This means the system has:Line 2 : y =-x + 1u2D inconsistenta unique solutionSolution: (MmNo consistent independent| O infinitely many solutions+-consistent dependente) no solution |
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Answer» Here a1/a2 = b1/b2 not equal to c1/c2 InconsistentNo solution |
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| 67154. |
If ax^2 +bx +c=0 has equal roots then value of "c" equal to |
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| 67155. |
(a2b3c).(abc)(a bc2has the value equal toIfVabcp then m +n+p112 |
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Answer» (a^2b^3c)^4.(abc)^3/(a^3bc^-1)^2= (a^mb^nc^p)^1/2 (a^8b^12c^4).(abc)^3/(a^3bc^-1)^2= (a^mb^nc^p)^1/2 (a^[8+3-3]b^[12+3-2]c^[4+3+2])= (a^mb^nc^p)^1/2 (a^8b^3c^9) = (a^mb^nc^p)^1/2 Since base is same powers are equal m/2 = 8, n/2 = 3, p/2 = 9m = 16, n = 6, p = 18 Thereforem + n + p = 16 + 6 + 18 = 40 |
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| 67156. |
If x+-= 8, then the value of x.Ais equalf x^{4}+\frac{1}{x^{4}} \text { is } e is equal to: |
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Answer» It is given that , x + 1/x = 8 ---( 1 ) Do the square of equation ( 1 ), ( x + 1/x )² = 8² x² + 1/x² + 2 = 64 x² + 1/x² = 64 - 2 x² + 1/x² = 62 --( 2 ) Again do the square of equation ( 2 ), ( x² + 1/x² )² = 62² x⁴ + 1/x⁴ + 2 = 3844 x⁴ + 1/x⁴ = 3844 - 2 = 3842 |
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| 67157. |
e value of12 is equal to |
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| 67158. |
3 ,,26. If the sum of the roots of av + 2x +3a-0 is equal thr product them thte value of) .6.s of ax2 + 2x + 3a = 0 is equal to their product then the value of a is-a)-, b)c)d)2 |
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| 67159. |
\sqrt{\frac{1-\cos A}{1+\cos A}}+\sqrt{\frac{1+\cos A}{1-\cos A}}=2 \csc A |
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Answer» tkanks |
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| 67160. |
Show that the system of equations2x+5y-17, 5x + 3y-14has a unique solution. Find the solution. |
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| 67161. |
stion No. 1 to 50 havefoon, on the OMR - Shee[sin2x) = ?dx |
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| 67162. |
tan-1(sin2x/1+cos2x) dx |
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Answer» sin2x / (1+cos2x) = 2sinxcosx/2cosxcosx = tanx tan^(-1)(tanx) = x |
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| 67163. |
integration of log sin2x dx in the definite integrals of 0 to π/2 |
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| 67164. |
j (Cos6x + Cos2x) dx =a) Smóz+Stnz Cc)04:Sin6x, Sin2xb)66sin6x Cos2d)62 |
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| 67165. |
25. j sin2x dx= |
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Answer» It will be cos2x/2+c |
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| 67166. |
t/4Inv1+ sin2x dx has the value equal to: |
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| 67167. |
10. Find the measure of the acute angle between thelines represented by |
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| 67168. |
The length of the tangent drawn from a pnt 8 em away from the centre of A Ätldile,dius 6 em, is:113/2ă//(C) 10 cm(D) 5 cmcmCnn |
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| 67169. |
y 3x +5 has(i) a unique solution, |
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Answer» No it has infinite many solution as there is no restrictions on variable x and y. so take any value of x we can find a corresponding y. |
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| 67170. |
(c) Solve the given pair of simultaneous equations:4x + = 15;6x - 14 =Accotian's |
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| 67171. |
+ 12 = 44 is given by:3. The solution of the pair of equationsa. x = 2, y = 3 b. x= -2, y =3-c. x = 1 / 4 = 3Xc.Xd. x = - 1 2 3 4 = 1/2= |
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| 67172. |
Solve each of the following pairs of equations1. 8r+ 5y = 9 2. 2x+3y=83x+2y = 44x + 6y = 7TRY THISSolve the given pair of linear equationsa - b)x+ (a + b)y = a - 2ab-b?a+b) (x + y) = a + b2 |
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Answer» 8x+5y=9; 3x+2y=4; 2(8x+5y=9)=16x+10y=18; 5(3x+2y=4)=15x+10y=20;/ x=2; 8x+5y=9; 8(2)+5y=9; 5y=9-16=-7; y=-7/5;; |
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| 67173. |
1 sin2x dx = |
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Answer» Answer - (cos2x)/2 + cplease like the solution 👍 ✔️ |
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| 67174. |
find derivative of (cos^(-1))(cos(x^(1/2))) |
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| 67175. |
1+sin2x |
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Answer» first of all we will focus on these formulas.1= sin^2 x + cos^2 x ...............(1)sin 2x =2 sin x cos x .................(2)now put these values in question.sin^2 x + cos^2 x + 2 sin x cos x (sin x + cos x)^2 •.• [a^2 +b^2 +2ab]so the answer is (sin x + cos x)^2 . |
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| 67176. |
Sin2x-sin4x+sin6x=0 |
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Answer» 1 2 4 |
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| 67177. |
Find derivative of \left(4 x^{2}+9\right) e^{x} |
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Answer» derivative of e^x(4x^2+9) |
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| 67178. |
Aluminiumacphate andoxiche reacts withwater.sulphuric acid to producealuminium |
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Answer» Al2(SO4)3+ H2O this reaction will take place Aluminum oxide react with sulfuric acidAl2O3+ 3H2SO4-------->Al2(SO4)3+ 3H2O Aluminum oxide react with sulfuric acid to produce aluminium sulfate and water. |
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| 67179. |
Find the value of k if the pair equations given has infinitely many solution:4x - 3y - (k-2) = 0 |
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Answer» Please post complete information of the question. Please post the complete question |
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| 67180. |
: Find the angle between the straight lines represented by |
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Answer» angle between two lines in 2nd degree equation is given by tan∅ = 2√h²-ab/(a+b). where 2h = 5 , a = 2 and b = 2 => tan∅ = 2*√(25/4-4)/(2+2) = 2√(9/4)/(4) = 3/4 =>∅ = tan-¹(3/4) |
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| 67181. |
Find the value of p for which the lines represented by the pair of equationsintersect at a unique point:-3x + 5y 7(2p-5)x-3y ! |
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Answer» So, -3x + 5y = 7 (2p - 5)x - 3y = 1 For unquie solution -3/(2p - 5) ≠ 5/(-3) (-3) × (-3) ≠ 5 ( 2p - 5) 9 ≠ 10p - 25 34 ≠ 10p p ≠ 34/10 |
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| 67182. |
sin2x. difrensition |
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| 67183. |
interrogation of sin2x |
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| 67184. |
be multiplied to get 12?10. By what number should(a) 1uu(c) 1(b)(d) |
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| 67185. |
/31. Write a rational number between /2 and2, lf 18, a, b, -3 are in AP, then find a + b.3. Find whether the lines represented by 2x + yintersecting. |
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Answer» If 18, a, b, - 3 are in AP Then common differenced = a - 18 = - 3 - b Then,a + b = 18 - 3a + b = 15 |
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| 67186. |
about raw data |
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Answer» Raw data(sometimes called sourcedataor atomicdata) isdatathat has not been processed for use. |
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| 67187. |
15. The equationx-2-0 on cartesian plane is represented by(A) a line(B) a point(C) infinitely many lines(D) 2 |
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| 67188. |
n a parallelogram the lengths of adjacent sides are known. Do we stilmeasures of the angles to construct the parallelogram?5) For a regularnolveon ot p vtes lo aly 1s0 is the measure ot the sum of its |
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| 67189. |
find the derivative of Xsquare×cosx÷sinx |
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| 67190. |
Find the derivative off(x) = 10x. |
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| 67191. |
Find f(x,y) = y.e^x, find the first order partial derivative. |
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| 67192. |
Find derivative of tan-i (sin2x). |
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Answer» The derivative oftan−1xis11+x2(for "why", see note below) So, applying the chain rule, we get: ddx(tan−1u)=11+u2⋅dudx In this questionu=2x, so we get: ddx(tan−12x)=11+(2x)2⋅ddx(2x) =21+4x2 Note Ify=tan−1x, thentany=x Differentiating implicitly gets us: sec2ydydx=1, so dydx=1sec2y From trigonometry, we know that1+tan2y=sec2y sodydx=11+tan2y and we havetany=x, so we get: Fory=tan−1x, the derivative is: dydx=11+x2 |
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| 67193. |
If ф is a root of equation x2 + px-4 = 0 and the equation x2 + px + g = 0 has equal roots. Find valueof p and g. |
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| 67194. |
A )5 (90 R , +(213) ; w9 =2 - = . ÂŤ ÂŤ |
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| 67195. |
14. Quadratic polynonual 2x2-3x + 1 has zeroes as α and β.Now form a quadratic polynomial whose zeroes are 3u andза3 |
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Answer» Please hit the like button if this helped you out |
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| 67196. |
Q17. Solve the following pair of equations graphically 2x + 3y = 12 and x - y - 120.Shade the region between the two lines represented by the above equations andthe x-axis. Write the vertices of triangle and also find its arca. |
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Answer» If you have some problem on this answer you can ask. |
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| 67197. |
in two vaniraw the graph of each of the following linear equations(iii) y=3x(ii) x-y 2 |
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| 67198. |
Findthemeall alyApeidituie ol 1o0d by asuitabie metiou7. To find out the concentration of SO, in the air (in parts per million, i.c. ppm), thewas collected for 30 localities in a certain city and is presented below:Concentration of SO, (in ppm)0.00-0.040.04 0.080.08 0.120.12 - 0.160.16 0.200.20-0.24Frequency44Find the mean concentration of SO, in the air. |
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| 67199. |
DateS. find th valueaăŽm |
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Answer» hit like if you find it useful |
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| 67200. |
19If the coefficients of 2nd, 3rd and 4th terms inthe expansion of (1+ x)" are in AP, then find thevalue of n. |
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