Chapter
- Coordinate Geometry Class 10th
1) Find
the distance between the points (0,5) and (-5,0).
2) Show
that the points (1,1), (-2,7) and (3,-3) are collinear.
3) Find
the mid point of A (2,7) and B (10,1).
4) Find
the relation between X and Y if the points (x,y), (1,2) and (7,0) are
collinear.
5) Check
whether (5,-2), (6,4) and (7,2) are the vertices of an isosceles triangle ?
6) Find
the perimeter of triangle with vertices (0,4), (0,0) and (3,0).
7) Prove
that the points A (0,1), B (1,4), C (4,3) and D (3,0) are vertices of square.
8) In
what ratio does the x axis, line segment joining the points (-4,-6) and (-1,7)
?Find the coordinate of the point of division ?
9) Find
the ratio in which the point (-1,K) divides the line segment joining the points
(-3,10) and (6,-8) hence find the value of K.
10) Pal
and Tom planted some trees in her garden as shown in figure and both arguing
they planted them in straight line. Find who is correct ? P stands for Pal and
T for Tom. Which social value is depicted in the question ?
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Chapter
- Coordinate Geometry Class
10th
1) Find
the centroid of triangle whose vertices are (3,-5), (-7,4) and (10,-2).
2) Prove
that the diagonals of rectangle bisect each other and are equal.
3) What
is the distance of the point P (5,12) from the origin.
4) If
the mid points of sides of triangle are (1,1), (2,-3) and (3,4) Find its
vertices ?
5) What
is the distance between the points (10 Cos 300 ,0) and (0, 10 Cos 600)
?
6) A
line is of length 10 and one end is at point (-3,2). If the ordiante of the
other end be 10, prove that the abscissa will be 3 or -9
7) In
what ratio does the y axis divide the line segment joining the points P (-4,5)
and Q (3,-7) ? Also find the coordinates of the point of intersection.
8) The
line joining the points to (2,1) and (5,-8) is trisected by the points P and Q.
If the point P lies on the line 2x -y +k = 0
Find the value of K
9) School
students of class X undertake to work for a campaign "Say No To
Plastic". Group X took the area under the coordinates A(2,2), B(-3,3),
C(-2,-1) and Group Y took the area under the coordinates C(-2,-1), D(3,-1),
A(2,2). Who covered more area? What are the harmful effects of using plastic
and how you contribute in spreading awareness for such campaign ?
10) Find
the centre of circle passing through the points (6,-6), (3,-7) and (3,3).
Chapter - Construction Class
10th
Revisional Assignment for Gifted students
A. Tick
the correct option from the following:-
1) To
construct a triangle similar to a given
ABC
with its sides
of
the corresponding sides of
ABC,
first draw say BX such that angle CBX is an acute angle and X lies on the
opposite side of A w.r.t. BC. Then locate points B1,B2 ... on BX at equal
distances and next step is to join:
(A) B2 to C (B) B3 to C (C) B4 to C (D) B5 to C
2) To
draw a pair of triangles to circle which one inclined to each other at angle of
35 it is required to draw triangles at end points at these two radii of the
circle the angle between them should be
(a) 600
(b) 900 (c)
1200 (d) 1500
B. Draw
a line segment of length 4cm and determine a point which divides the given line
segment internally in the ratio 2:3.
C. Draw a triangle ABC with side BC = 7cm,
̸̲ B = 450 ̸̲ A = 1050 then construct a
triangle whose sides 4 ̸ 3 times the corresponding sides of triangle ABC also justify the construction.
D. Draw a pair to tangents to circle of
radius 5cm which are incline to each other at an ̸̲ 600 Also justify the
construction. Measure the distance between the centre of circle and point of
the intersection of the tangents.
E. Draw a circle with the help of a
bangle. Take a point P outside the circle. Construct the pair of tangents from
this point to circle.
F. Let ABC be a right triangle in which AB
= 6cm, BC = 8cm and angle B = 900. BD is the perpendicular from B to
AC. The circle through B, C, D is drawn. Construct the tangents from A to this
circle.
G. Draw a circle of radius 3cm. Take two
points P and Q on one of its extended diameter each at a distance of 7cm from
its centre. Draw tangents to the circle from these two points P and Q.
H. Draw a circle radius 4.5cm and than draw
to tangents at the end points of diameter of the circle. What do you observe ?
IF each of these tangents represent
the qualities of a human being then for a better human being, find out the
qualities that a person should possess.
Chapter
- Construction Class
10th
Revisional Assignment for Slow
learner
A.
Tick the correct option from the
following:-
1) To
divide a line segment AB in the ratio 3:7 first a ay AX is drawn so that angle
BAX is an acute angle and then at equal distances points one marked in the say
AX straight the minimum points is
(a)
3 (b) 7 (c)
10 (d) 12
2) To
divide a line segment AB in the ratio 4:5 a say AX is drawn First such that
angle BAX is an acute angle and them points A1, A2, A3 ...... are located at
equal distances an say AX and the point B is joint to
(a) A4 (b) A5 (c)
A9 (d) A10
B. State True or False
1) A
pair of tangents can be constructed from a point P to a circle of radius 5cm
situated at a distance of 4cm from the centre.
2) Draw
an equilateral triangle having each side of 5cm. Construct a triangle similar
to it and of scale factor 2/3. The new triangle is also an equilateral
triangle.
C. Divide
a line segment of length 6cm in to 2/3 internally.
D. Draw
a right triangle ABC in which BC = 12cm, AB = 5cm and ̸̲ B = 900
E. Is
construction of a triangle with sides 8cm, 4cm, 4cm possible ?
F. What
instruments are used for performing geometrical construction ?
G. What
should be the difference AB and AC for construction of triangle ABC with BC = 4cm and ̸̲ C = 600 ?
H. Draw
a triangle ABC in which AB = 6cm, BC= 5.8
̸̲ B = 700 . Construct a triangle similar to it with scale
factor 3/5.
I. Draw
a right triangle in which sides other then hypotenuse are of lengths 4cm and
3cm. Then construct another triangle whose sides 5/3 times the corresponding
sides of the given triangle.
J. Draw
a circle of radius 6cm. From a point 12cm away from its centre, construct the
pair of tangents to the circle and measure their lengths.
K. Construct
a tangent to a circle of radius 2cm from a point on the concentric circle of
radius 3cm and measure its length.
Chapter
- Arithmetic Progressions Class
10th
Revisional Assignment for Slow
learner
1) Check
the following series is an AP or not.
13,10,7,4
2) Write
AP whose first term =17 and common difference = -6
3) Write
first term and common difference of AP 13,5,-3,-11
4) Write
first 4 terms of AP if a = -5 and d = 1/2.
5) Find
the 20th term of the sequence 7,3,-1,-5.....
6) Write
the AP whose third term is 5 and seventh term is 9.
7) Find
the 10th term of the AP 8, 13, 18... 153 ?
8) How
many multiples of 6 lies between 20 and 350 ?
9) Find
the sum of first 10 terms of AP 5, 8, 11, 14 ..... ?
10) Find
the sum of first 31 terms of the AP whose second term is 2 and fourth term is 8
?
11) Find
the sum of all natural numbers less than two hundred which are divisible by 7 ?
12) Find
the sum of 6 + 13 + 20 + ...... to 19 terms ?
13) If
a = -7, d = 4, an=73 Find n and Sn ?
14) If
a = 13, a13 = 73 Find d and S13 ?
15) Find
the sum of all terms of AP if the first term, common difference and last term
of an AP are 12, 6 and 252 respectively ?
Chapter
- Arithmetic Progressions Class
10th
1) Check
the following series is an AP or not 2,22,23,24......
2) Find
the next term of the AP √2, √8, √18, √32 .....
3) If
2, a, 16/3 forms and AP find the value of a ?
4) For
what value of p are 2p + 1, 13, 5p -3, three consecutive terms of AP?
5) Find
the number of natural numbers between 101 and 999 which are divisible both 2
and 5 ?
6) Which
term of AP; 2.9, 3.2, 3.5, 3.8 .... is 8 ?
7) Which
term of AP; 7, 12, 17, 22, 27 will be 250 more than its 50 th term ?
8) Find
the sum of (-3) + (-7) +(-11) + .... to 31 terms ?
9) The
sum of 4th and 8th term of an AP is 24 and the sum of 6th
and 10th term is 44. Find the first 3 terms of AP ?
10) The
sum of first n terms of an AP is given by Sn = 3n2 - 4n.
Find the AP and the 12th term?
11) If
Sn donates the sum of first n terms of an AP, prove that S30=3(S20
- S10) ?
12) Find
the sum (4 - 1 /n) + (4 - 2 /n) + (4 - 3/n) + ...... up to n terms ?
13) The
ratio of sum of n terms of two AP's is (4n + 2) : (3n + 47). Find the ratio of
their 9th term ?
14) The
sum of first 7 terms of an AP is 182. If its fourth and seventeenth term are in
ratio 1:5, find the AP ?
15) Given
a = 8, an = 62, Sn = 210. Find n and d ?
