Q.2053·Miscellaneous·2023·EasyLet I1=∫0π x/1 + cos^2x dx and I2=∫0π 1/1 +sin^2x dx What is the value of I2?View question
Q.2054·Miscellaneous·2023·EasySuppose E is the differential equation representing family of curves y^2 = 2cx + 2c√c where c is a positive parameter. What is the order of the differential equation?View question
Q.2055·Miscellaneous·2023·EasySuppose E is the differential equation representing family of curves y^2 = 2cx + 2c√c where c is a positive parameter. What is the degree of the differential equation?View question
Q.2056·Miscellaneous·2023·EasyLet f(x) = P e^x + Q e^2x + R e^3x where P, Q, R are real numbers. Further f(0) = 6, f'(n/3) = 282 and ∫₀^(n/2) f(x) dx = 11 What is the value of R?View question
Q.2057·Miscellaneous·2023·EasyAirbags work on the principle of a chemical reaction triggered by the impact producing a gaseous product that causes a sudden volume change. Which one among the following chemical conversions is responsible for this ?View question
Q.2058·Miscellaneous·2023·EasyLet f(x) = P e^x + Q e^2x + R e^3x where P, Q, R are real numbers. Further f(0) = 6, f'(n/3) = 282 and ∫₀^(n/2) f(x) dx = 11 What is f'(0) equal to?View question
Q.2059·Miscellaneous·2023·EasyLet f(x) = | cos x x^2 2x | | 2sin x x 1 | | tan x x 1 | What is f'(0) equal to?View question
Q.2060·Miscellaneous·2023·EasyWho among the following was the author of the famous Sanskrit work ‘Mrichchhakatika’ ?View question
Q.2061·Miscellaneous·2023·EasyWhich one among the following districts of Eastern India held a referendum in 1947 to decide whether or not to join Pakistan ?View question
Q.2062·Miscellaneous·2023·EasyLet I = ∫a to b (|x| / x) dx, a < b. What is I equal to when a < 0 < b?View question
Q.2063·Miscellaneous·2023·EasyCopper sulphate crystals available in the market are blue coloured crystals. By careful heating, they turn to white colour. Which one of the following is responsible for the blue colour ?View question
Q.2064·Miscellaneous·2023·EasyWhich among the following is the popular method for manufacture of ammonia ?View question
Q.2065·Miscellaneous·2023·EasyYashovarman was ruler of which one of the following kingdoms?View question
Q.2066·Miscellaneous·2023·EasyWhat is the specific purpose of using potassium hydroxide during the saponification process ?View question
Q.2067·Miscellaneous·2023·EasyWhich one of the following is the correct arrangement of metals in the decreasing order of their reactivity ?View question
Q.2068·Miscellaneous·2023·EasyWhich among the following statements is not correct with respect to allotropes of Carbon ?View question
Q.2069·Miscellaneous·2023·EasyFor manufacturing of glass, which among the following is used as a source of silica ?View question
Q.2070·Miscellaneous·2023·EasyWhich among the following is the correct arrangement of halogens in the increasing order of their oxidizing nature ?View question