Anil Satpute

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Miraculous World of Numbers is an eBook on Mathematical Fun. It has so many creative ideas to develop the skills & to increase the Thinking power. Along with this eBook I would like to encourage Students & Parents how they can participate to build the entire world with powerful thinking level. My Blogs will definitely encourage students & parents in this direction.

Anil Satpute

1M ago

NCERT
10th Mathematics
Exercise 10.2
Topic: Circle
We're here to help! If you're looking for resources to help you learn math, you've come to the right place. We have NCERT textbooks, lessons on Circle, and more. Join our community of students and teachers today! Click here for ⇨ NCERT-10-10-Circle - Ex- 10.1
In Q.1 to 3, choose the correct option and give justification.
1. From a point Q, the length of the tangent to a circle is 24 cm, and the
distance of Q from the centre is 25 cm. The radius of the circle is
(A) 7 cm (B) 12 cm (C) 15 cm (D) 24.5 cm
Solution:&nbs ..read more

Anil Satpute

1M ago

NCERT
10th Mathematics
Exercise 10.1
Topic: 10 Circle
We're here to help! If you're looking for resources to help you learn math, you've come to the right place. We have NCERT textbooks, lessons on Circle, and more. Join our community of students and teachers today!
Click here for ⇨ NCERT-10-9-Some Applications of Trigonometry - Ex- 9.1
1. How many tangents can a circle have?
Ans:
A circle can have infinite tangents due to its unique properties.
1) From Points Outside the Circle: There are infinitely many pairs of tangents for each point outside the circle, as ..read more

Anil Satpute

1M ago

NCERT
10th Mathematics
Exercise 9.1
Topic: 9 Some Applications of Trigonometry
We're here to help! If you're looking for resources to help you learn math, you've come to the right place. Lessons on Some Applications of Trigonometry from the NCERT textbook are solved systematically.
Click here for ⇨ NCERT-10-8-Introduction to Trigonometry - Ex- 8.3
EXERCISE 9.1
1. A circus artist is climbing a 20 m, long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground ..read more

Anil Satpute

1M ago

NCERT
10th Mathematics
Exercise 8.3
Topic: 8 Introduction to Trigonometry
We're here to help you with math! Our resources include NCERT textbooks, lessons on Introduction to Trigonometry, and more. Join our community of students and teachers today!
Click here for the basics of trigonometry - 1Click here for the basics of trigonometry - 2
Click here for ⇨ NCERT-10-8-Introduction to Trigonometry - Ex- 8.2
EXERCISE 8.3
Q 1. Express the trigonometric ratios sin A, sec A, and tan A in terms of cot A.
Solution:
Ans:
Q 2. Write all the other trigonometric ratios of ∠ A in terms ..read more

Anil Satpute

2M ago

NCERT
10th Mathematics
Exercise 8.2
Topic: 8 Introduction to Trigonometry
Click here for ⇨ NCERT-10-8-Introduction to Trigonometry - Ex- 8.1
EXERCISE 8.2
Q 1. Evaluate the following :
(i) sin 60° cos 30° + sin 30° cos 60°
(ii) 2 tan2 45° + cos2 30° – sin2 60°
(iii) [cos 45°] / [sec 30° + cosec 30°]
(iv) [sin 30° + tan 45° – cosec 60°] / [sec 30° + cos 60° + cot 45°]
(v) [5 cos2 60° + 4 sec2 30° – tan2 45°] / [sin2 30° + cos2 30°]
Solution:
(i) sin 60° cos 30° + sin 30° cos 60°
1) Using the above table,
a)&nbs ..read more

Anil Satpute

2M ago

NCERT
10th Mathematics
Exercise 8.1
Topic: 8 Introduction to Trigonometry
Here’s a set of additional practice problems specifically tailored to help you comprehend the coordinate geometry concepts outlined in the NCERT 10th-grade syllabus.
Need help with math? We're here to help! Our resources include NCERT textbooks, lessons on Coordinate geometry, and more. Join our community of students and teachers today!
Click here for ⇨ NCERT-10-7-Coordinate-geometry - Ex- 7.4
Click here for the basics of trigonometry - 1Click here for the basics of trigonometry - 2
EXERCISE 8.1
Q1. In ..read more

Anil Satpute

2M ago

Note:
This exercise has been excluded from the syllabus.
Here’s a set of additional practice problems specifically tailored to help you comprehend the coordinate geometry concepts outlined in the NCERT 10th-grade syllabus.
NCERT
10th Mathematics
Exercise 7.4
Topic: 7 Coordinate geometry
Click here for ⇨ NCERT-10-7-Coordinate-geometry - Ex- 7.3
EXERCISE 7.4
Q 1. Determine the ratio in which the line 2x + y – 4 = 0 divides the line
segment joining the points A(2, – 2) and B(3, 7).
Explanation:
1) The point P(x, y) divides the segment joining the points A(x1, y1) and B(x2 ..read more

Anil Satpute

2M ago

Note:
Here’s a set of additional practice problems specifically tailored to help you comprehend the coordinate geometry concepts outlined in the NCERT 10th-grade syllabus.
NCERT
10th Mathematics
Exercise 7.3
Topic: 7 Coordinate geometry
Click here for ⇨ NCERT-10-7-Coordinate-geometry - Ex- 7.2
EXERCISE 7.3
1. Find the area of the triangle whose vertices are :
(i) (2, 3), (–1, 0), (2, – 4) (ii) (–5, –1), (3, –5), (5, 2)
Explanation:
1) Let ABC be any triangle whose vertices are A(x1, y1), B(x2, y2) and C(x3, y3).
Area of a triangle = (1/2)[x ..read more

Anil Satpute

5M ago

NCERT
10th Mathematics
Exercise 7.2
Topic: 7 Coordinate geometry
Click here for ⇨ NCERT-10-7-Coordinate-geometry - Ex- 7.1
EXERCISE 7.2
Q 1. Find the coordinates of the point which divides the join of
(–1, 7) and (4, –3) in the ratio 2 : 3.
Explanation:
1) The point P(x, y) divides the segment joining the points A(x1, y1) and B(x2, y2) in
the ratio m:n, so we have,
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
2) In general P(x, y) = ((mx2 + nx1)/(m + n), (my2 + ny1)/(m + n))
Solution:
1) The point P(x, y) di ..read more

Anil Satpute

5M ago

NCERT
10th Mathematics
Exercise 7.1
Topic: 7 Coordinate geometry
Click here for ⇨ NCERT-10-6-Triangles - Ex- 6.6
EXERCISE 7.1
Q 1. Find the distance between the following pairs of points :
(i) (2, 3), (4, 1) (ii) (– 5, 7), (– 1, 3) (iii) (a, b), (– a, – b)
Solution:
Q2. Find the distance between the points (0, 0) and (36, 15). Can you now find
the distance between the two towns A and B discussed in Section 7.2.
Solution:
Q 3. Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear.
Solution:
Q 4. Check whether (5, – 2), (6, 4 ..read more