We have the following options: (A) \(\begin{array}{l}e^{x}- \int_{0}^{x}f(t)sin t\: dt\end{array} \) (B) \(\begin{array}{l}f(x)+ \int_{0}^{\frac{\pi}{2}}f(t)sin t\: dt\end{array} \) (C) \(\begin{array}{l}x- \int_{0}^{\frac{\pi}{2}-x}f(t)cos... View Article
Total possible outcomes = 52C2 = 1326 Favourable Outcome ( 1 spade and 1 ace) = 13C1 × 4C1 =... View Article
The total number of outcomes = 63 = 216 Among all these, we can get perfect squares 4, 9, 16... View Article
Speed in upstream = 2km/h Speed in downstream = 6km/h Speed in still water = (Speed in upstream + Speed... View Article
The place value of 9 in the number 1,904,712 is nine hundred thousand 1 million Hundred Thousand Ten Thousand Thousands... View Article
a) Number of digits in 144 = 3 Number of digits in the square root of 144 = (n+1)/2 {... View Article
Wages of 45 women for 48 days = ₹ 15525 Daily wage of 1 woman = ₹ 15525/(45 × 48)... View Article
For the first draw: Number of defective balls = 3 Total number of balls in the bag = 10 Probability... View Article
Given equation \(\begin{array}{l}\begin{vmatrix}x & 2 & -1 \\2 & 5 & x \\-1 & 2 & x \\\end{vmatrix}=0\end{array} \) ⇒... View Article
The square root of 201/529 \(\begin{array}{l}\sqrt{\frac{201}{529}}=\frac{\sqrt{201}}{23} = \frac{14.1774}{23} = 0.6164 (approx)\end{array} \)
Factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625,... View Article
We know that sec x = 1/cos x Therefore, cos a = 1/sec a = 1/2516 = 3.975 × 10-4... View Article
The oxidation of benzene by V2O5 in the presence of air produces maleic anhydride. The oxidation is carried out at... View Article
We already know that the Arrhenius equation has the following expression:k=Ae−EaRT When the activation energy of a reaction increases, the... View Article
Enantiomers are compounds that are mirror reflections of each other and are non-superimposable. The light is rotated in opposing directions... View Article
Any component that is free has an oxidation number of zero. When compared to the particle, the oxidation number for... View Article
Noble gases have very low boiling points due to weak dispersion forces. Their general electronic configuration is ns2np6 (except He).... View Article
r = mv/qBr ∝ √m/q [ K.E is ome for all particles]MHe2+ = 4mp,qH4e + 2qpmp>me rp = k(√mp/qp)k =... View Article
Around 1270 K (middle portion), decomposition of limestone gives lime (CaO) and CO2. Lime is a flux and combines with... View Article
When ammonium nitrate is heated, nitrous oxide is produced.NH4NO3 → ΔN2O+2H2O When sodium nitrate reacts with ferrous sulphate in an... View Article
