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Model Papers of Class 10th (Math) Subjective for SSC Annual Examination 2018

(Fresh/Reappear)

Note:Time allowed for Section - B and Section - C is 2 Hours and 40 minutes.

Section - B

Q-II) Attempt any NINE parts. Each part carries FOUR marks
1- Solve the equation x2-x -42 = 0
2- Prove that (1 +2ω)) (1 + 2ω2) (1 - ω-ω2)=0
3- Solve by quadratic formula, x2 -2x - 6 = 0
4- If 2x- 3: 15 = 12 : 30. Then find the value of X?
5- If then prove that a: b = c: d
6- Resolve into partial fractions.
7- Write domain and range of the given relations, RI = {(x, 3), (y, 1)}, R2 = {(x, 1), (x, 2), (y, 3)}
8- If U= {1,2,3………..50}, A = {1, 3, 5……49} and B={2,4,6,……50} then find

9- Find the arithmetic mean of the 4, 6, 10, 12, 15, 20, 25, 28, 30.
10- Prove that
11- A ladder makes an angle of 600 with the ground and reaches a height of 10m along the wall. Find the length of the ladder.
12- x and y vary inversely and y = 12 for x = 5. Find y if x = 15.

Section - C

Marks: 36 Marks: 24

Note : Attempt any THREE questions. All questions carry equal marks.
Q-III) Prove that the perpendicular from the centre of a circle on a chord bisects it.
Q- IV) Prove that the tangent to a circle and the radial segment joining the point of contact and the centre are perpendicular to each other.
Q-V) Construct a triangle, when

Draw perpendicular bisectors of its ides and circumscribe a circle.
Q-VI) Inscribe a regular HEXAGON in a circle of radius 6m .

نوٹ :- سیکشن (ب)اور سیکشن (ج) کیلئے کل وقت 2 کھنٹے 40 منٹ ہیں۔

سیکشن (ب(

برائے اردو میڈیم طلباءوطالباتِ

نمبر 32

سوال ۔2 سرج ذیل میں (9) کا اجزاء کا مختصر جوابات تحریر کریں۔ ہر جزو کے چار نمبر ہیں۔
1- مساوات x2- x- 42 = 0 کو حل کریں؟
2- x2-x -42 = 0 کو دو درجی کلیہ کہ مدد سے حل کریں۔
3- اگر 2x – 3 : 15 = 12 : 30 تو xکی قیمت معلوم کریں
(4)۔ ثابت کریں کہ

5- اگر تو ثابت کریںکہ a:b=c:d
6- کو جزوی کسر وں میں تحلیل کریں؟
(7)۔ دیئے گئے روابطہ کے ڈومین اور رینج لکھیں۔
R1 = {(x, 3 )}, {(y,1)}, R2({x, 1)}, {(x, 2)}, {( y,3)}
A, {1,2,5,………49} , U = {1,2,3,……..50} B = {2,4,6………50} تو معلوم کریں (8)۔ اگر

(9)۔ ڈیٹا 30، 28، 25، 20، 15، 12، 10، 6، 4 کا حسابی اوسط معلوم کریں۔
(10) ثابت کریں
(11)۔ اگر سیڑھی زمین کے ساتھ 60 کا زوایہ بناتے ہوئے دیوار پر 10 میڑ کی بلندی تک پہنچتیہے ۔ سیڑھی کی لمبائی معلوم کریں۔
کی قیمت معلوم y تو x=5 جبکہ y = 12 میں تغیر معکوس ہے۔ yاور x (12)۔ x = 15 کریں (12)۔ عیبت کریں:

سیکشن (ج) نمبر 24

نوٹ :- کوئی سے تین سوالات کے جوابات تحریر کیجئے ۔ ہر سوال کے نمبر برابر ہیں۔
سوال۔ 3 ثابت کریں کہ اگر دائرے کے مرکز سے دائےت کے کسی وتر پر عمود گرایا جائے تووہ اس کی تصنیف کرتا ہے۔
سوال۔ 4 ثابت کریں کہ کسی دائرے کے مماس اور نقطہ تماس کو مرکز سے ملانے والا رداسی قطعہ باہم عمود ہوتے ہیں۔
ہو۔ اس بنایئے جس ABCسوال۔ 5 ایک مثلث کی اضلاع کے عمودی ناصف کھینچیں اور پھر ایک محاصرہ دائرہ کھنیچیں۔
کو محصور کریں۔(Hexagon)رداس والے دائرے میں ایک مسدس 6 cmسوال۔6





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