Related InterviewSolutions

• What will be the maximum area of an isosceles triangle inscribed in the ellipse x^2/a^2 + y^2/b^2 = 1 if its vertex at one end of the major axis?(a) 3√3/4 ab sq units(b) 3√3/2 ab sq units(c) √3/2 ab sq units(d) 3/4 ab sq unitsThe question was posed to me in an online quiz.Enquiry is from First Order Derivative topic in division Limits and Derivatives of Mathematics – Class 11
• Given, y = tan^-1 √(x^2 – 1) then what is the value of (2x^2 – 1)y’ + x(x^2 – 1)y”?(a) -1(b) 0(c) 1(d) 2This question was posed to me in an interview for internship.My question is taken from Second Order Derivative in chapter Limits and Derivatives of Mathematics – Class 11
• What is the value of ln ⁡\(\frac{3}{x}\)?(a) ⁡\(\frac{2}{x^3}\)(b) ⁡\(\frac{-3}{x^3}\)(c) ⁡\(\frac{-9}{x^3}\)(d) ⁡\(\frac{9}{x^3}\)This question was posed to me in final exam.This question is from Derivatives topic in division Limits and Derivatives of Mathematics – Class 11
• f(x) is a polynomial of degree 4, vanishes at x = -1 and has local minimum/maximum at x = 1, x = 2, and x = 3. If, -2∫^2 f(x) dx = -1348/15. Then what is the value of f(x)?(a) x^4 – 8x^3 + 22x^2 – 24x – 55(b) x^4 – 8x^3 + 22x^2 – 24x + 55(c) x^4 – 8x^3 – 22x^2 – 24x – 55(d) Data not sufficientThis question was addressed to me during an online exam.Asked question is from First Order Derivative in chapter Limits and Derivatives of Mathematics – Class 11
• What is the value of \(\frac{d}{dx}\)(e^x sinx + e^x cos ⁡x)?(a) 0(b) 2 cos⁡x(c) 2e^x.sin ⁡x(d) 2e^x.cos⁡ xThe question was posed to me during an interview.This intriguing question originated from Derivatives topic in section Limits and Derivatives of Mathematics – Class 11
• What is the value of the limit \(\lim\limits_{x \rightarrow 0}\frac{sin^2⁡x}{x^2}\)?(a) 2(b) 1(c) Limit does not exist(d) 4The question was asked in an interview for job.My question is based upon Limits of Trigonometric Functions in portion Limits and Derivatives of Mathematics – Class 11
• What is the value of the limit \(\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{sin^2⁡x-1}{cos ⁡x}\)?(a) 0(b) 4(c) 1(d) Limit does not existI have been asked this question by my college professor while I was bunking the class.My enquiry is from Limits of Trigonometric Functions in chapter Limits and Derivatives of Mathematics – Class 11
• What will be the form of the equation after eliminating a and b from the equation y = a sin^-1x + b cos^-1x?(a) (1 – x^2)y” + xy’ = 0(b) (1 – x^2)y” – xy’ = 0(c) (1 + x^2)y” – xy’ = 0(d) (1 + x^2)y” + xy’ = 0The question was asked in unit test.My question is based upon Second Order Derivative in section Limits and Derivatives of Mathematics – Class 11
• If, y = cos(2sin^-1x), then what is the value of (1 – x^2)y” – xy’ + 4y?(a) –1(b) 0(c) 1(d) Depends on the value of xI had been asked this question in an interview for job.Asked question is from Second Order Derivative topic in chapter Limits and Derivatives of Mathematics – Class 11
• Let f (x) = (x – a) (x – b) (x – c), a < b < c. Thenf'(x) = 0 has two roots. At which interval does these roots belongs?(a) Both the roots in (a, b)(b) At least one root in (a, b) and at least one root in (b, c)(c) Both the roots in (b, c)(d) Neither in (a, b) nor in (b, c)The question was posed to me during an interview for a job.The question is from First Order Derivative in section Limits and Derivatives of Mathematics – Class 11