Solved question paper for MATH-1 May-2017 (DIPLOMA 1st-2nd)

Solved Question Paper

Applied mathematics-1 May-2017

PSBTE • DIPLOMA • Information Technology • 1st-2nd • May-2017

MATH-1 for Punjab State Board of Technical Education Diploma in Engineering students is a useful subject page for finding subject-wise previous year question papers and old exam papers for the 1st-2nd semester. Students can use these papers to revise key topics, understand the exam pattern, and practice the kinds of questions that are asked again and again in Applied Mathematics-1. This page is meant to help you search for semester-wise question papers, exam pattern questions, and important questions for revision before the test. BRpaper is not the official website of the university or board, so the papers shown here should be used as a study aid for preparation and practice.

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Solved Questions

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SECTION A

Q. 1) Choose the correct answer

(i) 5^th term of series 3, 8, 13, 18 _ _ _ _ _ _ _ _ _ _

a) 21 b) 22 c) 23 d) 24

Very Short Answer 5 xÂ 1 = 5 Â Marks May-2017 • PSBTE DIPLOMA

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The total number of terms in (x + a)⁸

a) 7 b) 8 c) 9 d) 10

Very Short Answer May-2017 • PSBTE DIPLOMA

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value of cos 90⁰

a) 0 b) 1 c) -1 d) none of these

Very Short Answer May-2017 • PSBTE DIPLOMA

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modulus of 1 + i √3 is equal to

a) 2 b) 1 c) 10 d) ï€2

Very Short Answer May-2017 • PSBTE DIPLOMA

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The radius of the circle x² + y² − 4x + 6y − 25 = 0

a) √37 b) √38 c) 38 d) 37

Very Short Answer May-2017 • PSBTE DIPLOMA

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State true or false

(i) The midpoint of A(-3,2) and B(5,4) is (1, -3)

Very Short Answer 5 xÂ 1 = 5 Â Marks May-2017 • PSBTE DIPLOMA

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angle 1325⁰ lies in I à±à² quadrant

Very Short Answer May-2017 • PSBTE DIPLOMA

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sec (90⁰ − Q) = cosecQ

Very Short Answer May-2017 • PSBTE DIPLOMA

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Two lines are parallel if their slopes are equal

Very Short Answer May-2017 • PSBTE DIPLOMA

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a, b, c are in A.P. if Ü¾ = (a-c over 2)

Very Short Answer May-2017 • PSBTE DIPLOMA

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Fill in the blanks

(i) The value sin 45⁰ cos 30⁰ – cos45⁰ sin 30⁰ is _________________

Very Short Answer 5 xÂ 1 = 5 Marks May-2017 • PSBTE DIPLOMA

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The area of triangle whose vertices are (4,4),(3,-16) and (3,-2) is _ _ _ _ _ _ _ _ _

Very Short Answer May-2017 • PSBTE DIPLOMA

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If the end points of the diameter of circle are (2,3) and (6,5) then the centre of circle is _ _ _ _ _ _

Very Short Answer May-2017 • PSBTE DIPLOMA

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value of cos (pi over 2) + Ý… sin (pi over 2) =_ _ _ _ _ _ _ _

Very Short Answer May-2017 • PSBTE DIPLOMA

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value of 8!/6!

Very Short Answer May-2017 • PSBTE DIPLOMA

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SECTION B

Q. 4) Attempt any 6 Questions

(i) Which term of the series 3 + 7 + 11 + 15 + _ _ _ _ _ _ _ _ _ _ is 47 ?

Very Short Answer 6 x 5 = 30 Marks May-2017 • PSBTE DIPLOMA

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Sum the series 3 + 33 + 333 + _ _ _ _ _ _ _ _ _ _ _ _ _ _ to n terms.

Very Short Answer May-2017 • PSBTE DIPLOMA

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Find the 4th term in the expansion of (({ x over a} + {a over x} ))¹⁰

Short Answer May-2017 • PSBTE DIPLOMA

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if sin (A + B) = 1 , cos(A − B) = √3/2 then find A and B

Short Answer May-2017 • PSBTE DIPLOMA

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Prove that ({cos 17 + sin 17 over cos 17 - sin 17 } = tan 62)

Short Answer May-2017 • PSBTE DIPLOMA

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Find the co-ordinates of a point which divides the line joining the points (1,3) and (6,-3) Internally in the ratio 2 : 1

Short Answer May-2017 • PSBTE DIPLOMA

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Find the equation of the straight line passing through (2,5) and perpendicular to 5x +2y +8 = 0

Short Answer May-2017 • PSBTE DIPLOMA

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Find the | distance of the point (3,4) from the line 12x + 5y + 7 = 0

Short Answer May-2017 • PSBTE DIPLOMA

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Show (3 log {3 over 4} + 2 log {2 over 5} - 2log {3over 10} = log 3)

Short Answer May-2017 • PSBTE DIPLOMA

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SECTION C

Q. 5) Attempt any 3 Questions

(i) Resolve (x^2 over (x-1)(x-2)(x-3)) into partial fraction

Long Answer 3 xÂ 10 = 30 Marks May-2017 • PSBTE DIPLOMA

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(a) Find the equation of the circle whose centre is the point (2, 3) and which passes Through the point (5, 7) (b) Find the equation of the circle passing through the points (0, 0) , (1, 0) , (0,1)

Long Answer May-2017 • PSBTE DIPLOMA

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(a) Prove that (sqrt 3 cos 23^0 - sin 23^0 over 2 ) = cos 53⁰

(b) Prove that sin150⁰ cos 120⁰ +cos 330⁰ sin 660⁰ = −1

Long Answer May-2017 • PSBTE DIPLOMA

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(a) if the three vertices of a rectangle are the points (2, -2) , (8,4) , (5,7) find the Co-ordinate of the fourth vertex.

(b) Find the equation of line joining two points (1, 2) and (2, 3)

Long Answer May-2017 • PSBTE DIPLOMA

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01 Where can I find MATH-1 previous year question papers for PSBTE Diploma?

You can use this page to look for subject-wise MATH-1 previous year question papers for the Punjab State Board of Technical Education Diploma in Engineering 1st-2nd semester.

02 Can I download the MATH-1 question paper PDF from this page?

This page is meant to help students find MATH-1 old question papers and related study material. Availability of PDF files may vary based on what is listed on the page.

03 Are solved question papers available for Applied Mathematics-1?

Some students search for solved question papers, but this page should be treated mainly as a source for previous year papers and exam practice material, not as a guarantee of solved answers.

04 How do MATH-1 PYQ papers help with preparation?

MATH-1 PYQ papers help you understand the exam pattern, spot repeated questions, and revise important topics from Applied Mathematics-1 before the exam.

05 Is BRpaper the official website for PSBTE?

No. BRpaper is not the official website of Punjab State Board of Technical Education. It only helps students find previous year papers and study resources.

Solved question paper for MATH-1 May-2017 (DIPLOMA 1st-2nd)

Applied mathematics-1 May-2017

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