Mathematics Solutions

JEE Advanced 2026 - Paper 1

Total Questions: 16

Q1
mediumSCQ

Consider the function f:(0,)o(,)f: (0, \infty) o (-\infty, \infty) given by f(x)=xloge(x)x+1.f(x) = \sqrt{x} \log_e(x) - x + 1. Then which o

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Q2
mediumSCQ

Let PP be the point on the parabola y=x2y = x^2 such that the slope of the tangent to the parabola at the point PP is $4

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Q3
mediumSCQ

Which one of the following matrices can be obtained by performing elementary row transformations on the 3×33 \times 3 ide

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Q4
mediumSCQ

Considering only the principal values of the inverse trigonometric functions, the value of

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Q5
mediumMCQ

Suppose that Box I contains 6 red balls and 9 green balls, and Box II contains 8 red balls and 12 green balls. All the b

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Q6
hardMCQ

Let PP be the plane such that it contains the straight line x12=y33=z+21\frac{x-1}{2} = \frac{y-3}{3} = \frac{z+2}{1} and is perp

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Q7
mediumMCQ

Let R\mathbb{R} denote the set of all real numbers. Let f:RRf : \mathbb{R} \to \mathbb{R} be an arbitrary function and le

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Q8
hardMCQ

Consider the matrix M=[2110]M = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} Let p,q,r,s,a,b,cp, q, r, s, a, b, c and dd be integers

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Q9
hardNUMERICAL

Let S={1,2,3,,10}S = \{1, 2, 3, \dots, 10\}. Consider the set

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Q10
hardNUMERICAL

Consider the function f:(π2,π2)(,)f : (-\frac{\pi}{2}, \frac{\pi}{2}) \to (-\infty, \infty) defined by

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Q11
mediumNUMERICAL

The number of ways to distribute 10 identical red pens and 14 identical blue pens among four persons such that each pers

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Q12
hardNUMERICAL

Let

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Q13
hardMATRIX_MATCH

Match each entry in List-I to the correct entry in List-II and choose the correct option.

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Q14
hardMATRIX_MATCH

Match each entry in List-I to the correct entry in List-II and choose the correct option.

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Q15
hardMATRIX_MATCH

For real numbers α\alpha, β\beta, γ\gamma, δ\delta and μ\mu, consider the matrix

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Q16
hardMATRIX_MATCH

Match each entry in List-I to the correct entry in List-II and choose the correct option.

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