प्रथम घटक चाचणी pdf 2022 गणित 10 th English medium | इंग्रजी माध्यम Maths 2022
प्रथम घटक चाचणी pdf 2022 गणित 10 th English medium | इंग्रजी माध्यम Maths 2022
First Unit Test
Sub: Maths 2
Std 10th
Q.1.[A ]Choose the correct alternative ( 5 ) 1. In the figure Seg XY | Seg BC
Then which of the following statement is true (A)AB/AC = AX/AY (B) AX/XB = AY/AC
(C) AX/YC = AY/XB (D) AB/YC = AC /XB
2. Out of the following which is the pythagorean triplet? (A) (1,5,10) (B) (3,4,5) (C) (2,2,2) (D) (5,5,2) 3. In ABC and PQR, In a one to one correspondence AB/QR =BC/PR=CA/PQ Then
(A) ∆ PQR~ ∆ABC (B) ∆ PQR~∆ CAB
(C) ∆ CAB ~ ∆ PQR (D)∆BCA ~ ∆PQR
4. Height and base of a right angleangled triangle are 24 cm and 18 cm. Find the length of it's hypotenuse
(A) 24cm (B) 30cm (C) 15cm (D) 18cm
5.Find perimeter of square if it’s diagonal is10√2 cm. (A) 10cm (B) 4cm (C) 20cm. (D) 40cm
B] solve the following questions ( 4 )
1. In RST, S=90° , T=30°, RT=12cm then Find ST.
2. Base of a triangle is a 9 and height is 5. Base of another triangle is 10 and height is 6. Find the ratio of areas of these triangles.
3. In the right angled triangle sides making right angle are 5cm and 12cm. Find the length of the hypotenuse.
4. In A PQR , p = 11 , q = 61 , r = 60. State whether ∆PQR is a right angled triangle or not .
5. The ratio of corresponding sides of similar triangles is 5 : 7 ; then find the ratio of their areas .
Q.2 . A] Complete the following Activities . ( Any one ) ( 2 )
1.In the figure , AB || CD || EF
If AC = 5.4 , CE = 9 , BD = 7.5 then find DF .
AB || CD || EF
AC
------ = ------ (..…......….)
DF
5•4
------ = -----
9 DF
DF =
2.In the figure . In ∆ABC /_B= 90° , /_A = 30°, AC = 14, then Find BC .
In ∆ABC
/_B=90°, /_A=30°, therefore /_C =
By 30°-60°-90° theorem ,
1
BC = --- ×
2
1
BC = ---
2
BC =
B ] Solve the following questions ( Any one ) ( 2 )
1. Find the diagonal of a rectangle whose length
is 70cm and breadth is 24 cm
2. ∆POR ~ ∆XYZ A ( ∆POR ) = 36 and A(∆XYZ) = 49, then find the value of ratio PQ/XY .
3 . Areas of two similar triangles are 225 sq . 1 . 81 sq . cm . If a side of the smaller triangle
12 cm , then find corresponding side of the bigger triangle .
Q. 3] Solve the following questions ( Any one ) ( 3 )
1.Find the diagonal of a rectangle whose length is 16 cm and area
is 192 sq.cm.
2. In ∆PQR , seg QS bisects /_POR . If PQ = x , QR = x + 5 , PS = x - 2 , RS = x + 2 , then find the value of x .
3.Prove that, "The sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides."
Q.4 . solve the following questions ( Any one ) ( 4 )
1.Side of equilateral Anangle ABC is 18cm then find the area of triangle whose side is half of the side of triangle ABC .
2.In an isosceles triangle length of the congruent sides is 13cm and its base is 10 cm . Find the distance between the vertex opposite the base and the centroid .
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FIRST UNIT TEST 2022 MATHAS 2 PDF
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