1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
For the following three (03) items:
Let $y=f(x)=\frac{x\sin ^{-1}x}{\sqrt{1-x^{2}}}+\ln \sqrt{1-x^{2}}.$
Let $y=f(x)=\frac{x\sin ^{-1}x}{\sqrt{1-x^{2}}}+\ln \sqrt{1-x^{2}}.$
What is the slope of the tangent to the curve y = f(x) at x = 0.5
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
For the following two (02) items:
Consider the function $f(x)=1-\sqrt[3]{(x-1)^{2}}$
Consider the function $f(x)=1-\sqrt[3]{(x-1)^{2}}$
The function has
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
A wire of length 20 cm is to be bent into a rectangle. Which of the following statements is/are correct?
I. The rectangle of the largest area is the square.
II. It is possible to form a rectangle of an area of$ 27c m ^ 2$
Select the answer using the code given below.
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Consider the following statements regarding the function f(x) = 1/(x - 5)
Statement-I: f(x) is decreasing on the intervals x < 5 and x > 5
Statement-II: f''(x) > 0 for all x ≠ 5.
Which one of the following is correct in respect of the above statements?
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