According to the Exam Calendar for 2018, UP Board Exams of Class 10th and Class 12th will start from 6th February 2018. So, there is not enough time for the preparation of UP Board Exams. As the time is running out, students should focus more on practicing questions and doing revision what they have studied earlier rather picking up new topics during preparation. Due to this reason, here we present you the UP Board Class 12th Mathematics (first) solved guess paper to prepare for the upcoming Mathematics board exam 2018.
Salient features of this Solved Guess Paper are:
• Strictly follows latest UP Board Class 12th Mathematics (first) syllabus,
• Based on latest examination pattern,
• Focus upon topics from which questions are likely to be asked,
• Offers detailed solutions for each and every question,
• Perfect for practice & revision.
Some questions from the solved guess paper are given below:
प्रश्न : समीकरण sin2θ = cos2θ को हल करके θ का व्यापक मान ज्ञात कीजिए.
उत्तर: दिया है, sin2θ = cos2θ या sin2θ = cos2θ
Cos2θ = Sin(π/2 - 2θ)
2θ = 2nπ ± (π/2 -2θ)
अब “+” चिन्ह लेने पर 2θ + 2θ = 2nπ + π/2
4θ = (2n+1/2) π
θ = (2n+ ½) π/4
अब “-” चिन्ह लेने पर : 2θ = 2nπ – (π/2 - 2θ)
2θ = 2nπ – π/2 -2θ
यहाँ सम्भव नही है.
प्रश्न : यदि A= (1,2,3), B(2,3,4) और C = (3,4,5,6) तो A- (B-C) तथा (A-B) – C ज्ञात कीजिए?
उत्तर: दिया है- A(1,2,3), B(2,3,4) और C = (3,4,5,6)
तब B-C = (2,3,4) – (3,45,6) = (2)
तथा A- (B-C) = (1,2,3) –(2) = (1,3)
A-B = (1, 2, 3) – (2, 3, 4) = (1)
(A-B) – C = (1) – (3,4,5,6) = (1)
प्रश्न : श्रेणी 4,9,14,19 का कौन सा पद 104 है ?
उत्तर: माना श्रेणी का n वा पद 104 है.
यहाँ a = 4 तथा d = 9 - 4 = 5 या 14 – 9= 5
यह श्रेणी समान्तर श्रेणी है .
जहां Tn = 104
nवाँ पद के सूत्र से :
a + (n-1) d = 104
5 (n-1) = 104 - 4
(n-1) = 100/ 5
n-1 = 20
n = 20+1
n = 21
अत: श्रेणी का 21वाँ पद 104 है.
Each and every question of Mathematics first guess paper has been provided with a detailed explanations which will help students to understand what & how much they must write in UP Board class 12th mathematics (first) board exam to score maximum marks. To take maximum benefits from this paper, students should put an honest effort to solve the paper and cross check their answers with the solutions provided with this guess paper.