Question

SECTION - A
Q.1 - Q.10 are multiple choice questions. Select the most appropriate answer from the given options.
1. If p and q are positive integers such that p = ab and q = a'b, where a, b are prime numbers, then
H.C.F. (p, q) =
(a) ab
(6) a222
(c) a3b2
(d) ab
2. The pair of equations y=3 and y = 8 has
(a) one solution
(b) two solutions
(c) infinitely many solutions
(d) no solution
3. In the following figure, PQ is the common tangent to both the circles. SR and PT
are tangents. If SR = 4 cm, PT = 7 cm,then find RP.
(a) 4 cm
(b) 3 cm
(c) 11 cm
(d) 6 cm
O
3
Al
is the mid-point of the line segment joining the points (k, 0) and
NI
then the value of k is
(a) 1
(b) -1
(c) 13
(d) -13
5. Ifa, B are the zeroes of f(x) = 2x2 + 8x -8, then
(a) a + b = aß
(b) a + ß> aß (c) a +B<aß
• (d) a + B + aß = 0
6. In-an A.P., if a = 3.5, d = 0, n= 101, then an will be
(a) o
(b) 3.5
(c) 103.5
(d) 104.5
7. A hollow cylinder of height 15 cm is melted and cast into a solid cylinder of height 3 cm. If the internal and
external radii of the hollow cylinder are 2 cm and 3 cm respectively, then the radius of the solid cylinder is
• (a) 1 cm
(b) 5 cm
(c) 3 cm
(a) 4 cm
8. What is the nature of roots of the quadratic equation 5x2 - 2x - 3 = 0?
(a) Real and unequal
(b) Real and equal.
(c) Not real
(d) Can't be determined
​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

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