Total Questions: 10
|
Total Marks: 10
Attempt all questions. Show proper working wherever required.
Attempt all questions. Show proper working wherever required.
Section A — Foundation
2 Marks
Q1.
Use Euclid's division algorithm to find the HCF of
867 and 255.
Q2.
Find the roots of
x² − 7x + 12 = 0.
Q3.
Find the 20th term of the AP:
7, 11, 15, 19, …
Q4.
Find the distance between the points
(−2, 3) and (4, −5).
Section B — Mixed Practice
4 Marks
Q5.
Solve the pair of linear equations:
2x + y = 7
x − y = 2.
2x + y = 7
x − y = 2.
Q6.
If tan θ = 3/4, where θ is an acute angle,
find sin θ and cos θ.
Q7.
Find a quadratic polynomial whose zeroes are
2 + √3 and 2 − √3.
Q8.
Find the area of the triangle whose vertices are
(1, 2), (4, 6) and (7, 2).
Section C — HOTS / Advanced
4 Marks
Q9.
From an external point P, tangents PA and PB
are drawn to a circle. If PA = 7 cm, find PB
and justify your answer using the tangent theorem.
Q10.
A tower casts a 20 m long shadow when the angle
of elevation of the Sun is 30°.
Find the height of the tower.