UP Board 12th Maths Most Repeated Question 2025

UP Board 12th Maths Most Repeated Question 2025: The Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) has scheduled to conduct the Class 12 Mathematics 2025 examination on March 3, 2025. The exam will be held from 8:30 AM to 11:45 AM. As per the UP Board Maths Exam Pattern 2025, the question paper will have a weightage of 100 marks. Interested students can check the UP Board 12th Maths Most Repeated Question 2025 available here.

UP Board 12th Maths Most Repeated Question 2025

Get the UP Board Class 12th Maths Most Repeated Question 2025 below.

1. The principal value of cos^-1 (1/√2) is:
   Answer: π/4

2. Matrices A and B will be inverse of each other only if:
   Answer: AB=BA=I

3. Differentiation of Sin x² with respect to x is: 
   Answer: 2x cos(x²)
   
   
4. If f(a+b-x)=f(x), then fox ∫f(x) dx is equal to: 
   Answer: $\frac{a+\mathrm{b/}}{2}{\int }_a^{b}f\left(x\right)dx$

5. The order of the differential equation $2\frac{{\mathrm{x²}}^{\mathrm{2d}}}{\mathrm{y/}}-\mathrm{3\; (}\frac{d}{\mathrm{y/}}+y=0$ is 
   Answer: 2

6. Direction cosines of a vector a=i+j-2k are
   Answer: (1/√6, 1/√6, -2/√6)
   
   
7. A and B are independent events with $P\left(A\right)=\; 0.3\; and$ $P\left(B\right)=0.\mathrm{6.\; Find\; P\; (A\cap B)Answer:\; 0.18}$
8. $\mathrm{What\; is\; the\; slope\; of\; the\; tangent\; to\; the\; curve\; y\; =\; 2x/(x2\; +\; 1)\; at\; (0,\; 0)?Answer:\; 2}$
9. $\mathrm{The\; value\; of\; f’(x)\; is\; -1\; at\; the\; point\; P\; on\; a\; continuous\; curve\; y\; =\; f(x).\; What\; is\; the\; angle\; which\; the\; tangent\; to\; the\; curve\; at\; P\; makes\; with\; the\; positive\; direction\; of\; x\; axis?Answer:\; 3\pi /4}$
10. $\mathrm{What\; will\; be\; the\; differential\; function\; of\; \surd (x2 +\; 2)?Answer: x/\surd (x2 +\; 2)\; dx}$
11. $\mathrm{In \int baf(y)\; dy,\; what\; is\; ‘a’\; called\; as?Answer:\; Upper\; limit}$
12. $\mathrm{The\; value\; of \int \pi 0sin\; y\; dy\; is\; 2.Answer:\; True}$
13. $\mathrm{Compute\; \int cos(x)-3x4dxAnswer:\; sin(x)+34x-3+c}$
14. $\mathrm{What\; will\; be\; the\; range\; of\; the\; function\; f(x)\; =\; 2x3\; –\; 9x2\; –\; 24x\; +\; 5\; which\; increases\; with\; x?Answer:\; x\; >\; 4\; or\; x\; <\; -1}$
15. $\mathrm{For\; which\; value\; of\; x\; will\; (x\; –\; 1)(3\; –\; x)\; have\; its\; maximum?Answer:\; 2}$
16. $\mathrm{What\; will\; be\; the\; values\; of\; x\; for\; which\; the\; value\; of\; cosx\; is\; minimum?Answer:\; (2m\; +\; 1)\pi }$
17. $\mathrm{What\; will\; be\; the\; value\; of\; x\; for\; which\; the\; value\; of\; cosx\; is\; minimum?Answer:\; -1}$
18. $\mathrm{If\; E\; and\; F\; are\; two\; events\; associated\; with\; the\; same\; sample\; space\; of\; a\; random\; experiment\; then\; P\; (E|F)\; is\; given\; byAnswer:\; P(E\cap F)\; /\; P(F),\; provided\; P(F)\; \ne \; 0}$
19. $\mathrm{Let\; E\; and\; F\; be\; events\; of\; a\; sample\; space\; S\; of\; an\; experiment,\; if\; P(S|F)\; =\; P(F|F)\; then\; value\; of\; P(S|F)Answer:\; 1}$
20. $\mathrm{Given\; that\; E\; and\; F\; are\; events\; such\; that\; P(E)\; =\; 0.6,\; P(F)\; =\; 0.3\; and\; P(E\cap F)\; =\; 0.2,\; then\; P(E|F)?Answer:\; 2/3}$

$\mathrm{The\; above-given\; UP\; Board\; 12th\; Maths\; Most\; Repeated\; Question\; 2025\; has\; appeared\; frequently\; in\; the\; UP\; Board\; Class\; 12\; Mathematics\; examinations.\; Students\; are\; advised\; to\; practice\; these\; questions\; along\; with\; the\; entire\; syllabus\; to\; ace\; the\; examination.}$