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# Ask a Mathematics(Class XI-XII Tuition (PUC)) Question

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K

Komal 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

How many words can be formed without repeating the words from the word MONDAY?

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Tapas replied | 04/12/2016

The number of letters in MONDAY is 6 and all are different. So, the number of words that can be formed is !6 = 720.

Sarvajeet replied | 06/12/2016

6! = 720.

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A

Anurag 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What do you mean by projection rule?

Ankit replied | 09/12/2016

Projection Formula gives the relation between angles and sides of a triangle. We can find the length of a side of the triangle if other two sides and corresponding angles are given using projection formula. If a, b and c be the length of sides of a triangle and A, B and C are angles opposite to the sides respectively, then projection formula is given below:
a = b cos C + c cos...  more»
Projection Formula gives the relation between angles and sides of a triangle. We can find the length of a side of the triangle if other two sides and corresponding angles are given using projection formula. If a, b and c be the length of sides of a triangle and A, B and C are angles opposite to the sides respectively, then projection formula is given below:
a = b cos C + c cos B
b = c cos A + a cos C
c = a cos B + b cos A «less

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K

K 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What do you mean by Napier’s Analogy?

Ankit replied | 09/12/2016

Definition of Napier's analogies: Four formulas giving the tangent of half the sum or difference of two of the angles or sides of a spherical triangle in terms of the others.

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S

Saravanan 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the trigonometrical formula of Sin A / 2 for half angle?

Ankit replied | 09/12/2016

2sin(A/4).cos(A/4).

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N

Nagaraj 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the area of triangle?

Siva replied | 07/12/2016

(height*base)/2.

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B

Bhakti 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the measurement of side AC of the triangle ABC with right triangle at C?

Sarvajeet replied | 26/11/2016

square of AB = square of AB + square of BC.

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F

Furqankhan 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the area of triangle ABC if the angle sinA = 2/bc, sin B = 2/ac, sinC = 2/ab?

Sarvajeet replied | 26/11/2016

The area of triangle ABC =(1/2).a.b. sinC=(1/2).b.c. sinA=(1/2).c.a. sinB.

Sarvajeet replied | 02/12/2016

The area of triangle ABC =(1/2).a.b. sinC=(1/2).b.c. sinA=(1/2).c.a. sinB=1.

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L

Laxmi 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the difference between circumcircle and incircle?

Nirmal Bhasu replied | 06/12/2016

Circumcircle is the circle which passes through the vertices of triangle and Incircle is the circle which touches the sides of triangle.

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S

Soujanya 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What do you mean by escribed circle?

Ankit replied | 09/12/2016

Define escribed circle: A circle outside of a triangle that is tangent to one of its sides and also to the other two sides that have been extended.

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N

Natarajan 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the process for measuring radius of the inscribed and circumscribed circles of regular polygon?

Ankit replied | 09/12/2016

Dist. of centre from vertex will give circum radius. perpendicular dist. of centre from side will give inradius.

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V

Vikas 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Name some properties of triangle?

Ankit replied | 09/12/2016

These are some well known properties of all triangles. See the section below for a complete list.
The interior angles of a triangle always add up to 180°.
The exterior angles of a triangle always add up to 360°.

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K

Kartheek 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What do you mean by Appollonius theorem?

Prateek replied | 19/11/2016

The sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side.

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S

Siraj 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Define ptolemy’s theorem?

Ankit replied | 09/12/2016

In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle). The theorem is named after the Greek astronomer and mathematician Ptolemy (Claudius Ptolemaeus).

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O

Orange 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the difference between angle of elevation and angle of depression?

Prassan replied | 08/12/2016

Angle of elevation is used when eye is observing any object above it and angle of depression is used when eye is observing any object below it.

Ankit replied | 09/12/2016

Looking top, Looking bottom.

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V

Vikas 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the formula for measuring height of a triangle?

Ankit replied | 09/12/2016

The height of a triangle can be found if you have an angles and a side, if the angle is between the base and the side you have, or all three sides. We'll call the sides of the triangle a, b, and c, and the angles, A, B, and C.
If you have all three sides, you'll use Heron's formula, and the formula for the area of a triangle.
If you have two sides and an angle, you'll use...  more»
The height of a triangle can be found if you have an angles and a side, if the angle is between the base and the side you have, or all three sides. We'll call the sides of the triangle a, b, and c, and the angles, A, B, and C.
If you have all three sides, you'll use Heron's formula, and the formula for the area of a triangle.
If you have two sides and an angle, you'll use the formula for the area given two angles and a side. A = 1/2ab(sin C). «less

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P

Puneethkumar 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the formula for measuring distance from height to hypotenuse of a right triangle?

Veeranna replied | 07/12/2016

Ac2=ab2+bc2.

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V

Veena 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the difference between acute angle and obtuse angle of a triangle?

Ankit replied | 22/11/2016

An acute triangle is a triangle with all three angles acute (less than 90°). An obtuse triangle is one with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180°, no triangle can have more than one obtuse angle.

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A

Abhishek 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve the triangle if B = 30 degree, C = 60 degree, a = 6 cm?

Sarvajeet replied | 26/11/2016

A =(180- 30-60) degree= 90 degree,
b = 3 cm=AC
c = 3((square root of 3)) cm=AB

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N

Nandita 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Determine order and degree of differential equation: [(d power 4)y] / [d(x power 4)] + sin y = 0?

Prateek replied | 19/11/2016

4 and 1

Sarvajeet replied | 02/12/2016

4 & 1.

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Z

Zeeshan 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the degree of the differential equation: {cube of [(square of d)y / d (square of x)]} + {square of[dy / dx]} + sin (dy / dx) + 1 = 0?

Sarvajeet replied | 26/11/2016

3

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N

Nagesh 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve with respect to x if y = (square of x) + 2x + c?

Sarvajeet replied | 02/12/2016

2x + 2.

Sarvajeet replied | 02/12/2016

dy/dx=2x+2.

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S

Sonam 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve with respect to x: y = cos x + c?

Sarvajeet replied | 02/12/2016

-sinx.

Sarvajeet replied | 02/12/2016

dy/dx = -sin x.

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P

Parna 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve with respect to sin x: y = sin x / tan x + cos x + c?

Sarvajeet replied | 02/12/2016

-2tan x.

Sarvajeet replied | 02/12/2016

dy/d(sin x)= -2tan x.

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H

Harsha 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve with respect to x: y = Ax?

Sarvajeet replied | 02/12/2016

A.

Sarvajeet replied | 02/12/2016

dy/dx= A.

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S

Shobhitha 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Define chain rule with respect to derivative?

Ankit replied | 09/12/2016

"If f is a function of g and g is a function of x, then the derivative of f with respect to x. is equal to the derivative of f(g) with respect to g. times the derivative of g(x) with respect to x.

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