maths-x-case-study-question-ver good.pdf

Class10 maths

1. CBSE(NCERT): CLASS X MATHS
CASE STUDY

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2. The diagrams show the plans for a sun room. It will
be built onto the wall of a house. The four walls of
the sunroom are square clear glass panels. The roof
is made using

+ Four clear glass panels,
trapezium in shape, all the
same size

+ One tinted glass panel,
half a regular octagon in
shape

Not to scale

y Scale 1 cm = 1m x

3. (i) Refer to Top View
Find the mid-point of the segment joining the points J (6, 17) and I (9, 16).

33 15 31 15 33
(a) ETS (b) 32 (c) 32 (d)

Mid- point of J(6, 17) and 1(9, 16) is

6+9 17+16
x= EN and y =

15
A andy= 2

2 Scale 1 cm = 1m

4. (ii) Refer to Top View
The distance of the point P from the y-axis is
(a) 4 (b) 15 (c) 19 (d) 25

In the top view figure, when we
draw perpendicular from point P to
the Y-axis, its distance is 4 units.

Not to scale

2 Scale 1 cm = 1m

5. (iii) Refer to Front View
The distance between the points A and S is
(a) 4 (b) 8 (c) 16 (d) 20

In the front view figure, it is clear the
coordinates of A and S are A(1, 8) and (17, 8)
The distance between the points A and S is

(17 - 1)? + (8- 8)?
=416*=16

2 Scale 1 cm = 1m

6. (iv) Refer to Front View
Find the co-ordinates of the point which divides the line segment
joining the points A and Bin the ratio 1:3 internally.
(a) (8.5,2.0) (b) (2.0, 9.5) (c) (3.0, 7.5) (d) (2.0, 8.5)

In the front view figure, the coordinates of A 1118111711 tt
and B are A(1 8) and B(5, 10)
1 3
ug A
A(1,8) € B (5, 10)
A
Let C be point, which divides tl

By using internal division formula,
“(Boge pa E 10+241

1+3 1+3 4 4

in} thé ratio ii

+ (8 +Top view

= G. =) = (2,85) Not to scale
4 4

a Scale 1 cm = 1m

7. (v) Refer to Front View
If a point (x, y) is equidistant from the Q(9, 8) and S(17, 8), then
(a) x+y = 13 (b)x-13=0 (c)y-13=0 (d) x-y = 13

Let point be P(x, y) Le
PQ? = ps?
or, (1-9 +(y-8)= (1-17) + (y -8y

> x?-18x+81 = x? — 34x +289
=> 34x - 18x = 289-81
= 16x =208

>x-13=0

2 Scale 1 cm = 1m

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