Three persons enter in a lift at the ground floor. The lift will go up to 10th floor Q. Three […]
If Σ r/(r^4 + r^2 + 1) from r = 1 to 25 equals p/q, then p + q is
The sum of the coefficients of x^499 and x^500 in (1 + x)^1000 + x(1 + x)^999 + x^2(1 +
The sum of all the elements in the range of f(x) = Sgn(sin x) + Sgn(cos x) + Sgn(tan x)
Let P1 : y = 4x^2 and P2 : y = x^2 + 27 be two parabolas Q. Let $P_1
Let the ellipse x²/144 + y²/169 = 1 and the hyperbola x²/16 − y²/λ² = −1 have the same foci
Let [ ] denote the greatest integer function. Then the given definite integral is equal to Q. Let [ ]
6/3^26 + 10·1/3^25 + 10·2/3^24 + 10·2^2/3^23 + … + 10·2^24/3 is equal to Q. $ frac{6}{3^{26}}+frac{10cdot 1}{3^{25}}+frac{10cdot 2}{3^{24}}+frac{10cdot 2^{2}}{3^{23}}+cdots+frac{10cdot
Let f(x)=lim_{θ→0}(cos(πx)−x^(2/θ)sin(x−1))/(1−x^(2/θ)(x−1)) Q. Let $ f(x)=lim_{thetato 0} left( frac{cos(pi x)-x^{left(frac{2}{theta}right)}sin(x-1)} {1-x^{left(frac{2}{theta}right)}(x-1)} right), xinmathbb{R}. $ Consider the following two statements :
Let A be the focus of the parabola y² = 8x and the centroid of triangle ABC is (7/3, 4/3)