We have,
{tex} \mathrm { LHS } = \frac { \sec \theta - \tan \theta } { \sec \theta + \tan \theta }{/tex}
{tex} \Rightarrow \quad \mathrm { LHS } = \frac { \sec \theta - \tan \theta } { \sec \theta + \tan \theta } \times \frac { \sec \theta - \tan \theta } { \sec \theta - \tan \theta }{/tex}
{tex} \Rightarrow \quad \mathrm { LHS } = \frac { ( \sec \theta - \tan \theta ) ^ { 2 } } { \sec ^ { 2 } \theta - \tan ^ { 2 } \theta } = \frac { ( \sec \theta - \tan \theta ) ^ { 2 } } { 1 }{/tex} [{tex} \because{/tex} sec²{tex} \theta{/tex} - tan²{tex} \theta{/tex} = 1]
{tex} \Rightarrow \quad \mathrm { LHS } = \sec ^ { 2 } \theta - 2 \sec \theta \tan \theta + \tan ^ { 2 } \theta{/tex}
{tex} \Rightarrow \quad \mathrm { LHS } = \left( 1 + \tan ^ { 2 } \theta \right) - 2 \sec \theta \tan \theta + \tan ^ { 2 } \theta{/tex} [{tex} \because{/tex} sec²{tex} \theta{/tex} = 1 + tan²{tex} \theta{/tex}]
{tex} \Rightarrow{/tex} LHS = 1 - 2sec{tex} \theta{/tex} tan{tex} \theta{/tex} + 2tan²{tex} \theta{/tex} = RHS

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A rectangular park is to be designed whose breadth is 3m less than its length.Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12m . Find its length and breadth.

Posted by Abhishek Gupta 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Ishit__ __? 6 years, 9 months ago

Hey Ritvik first calculate breadth and you will find by taking lenght = 2 it will come in -ve so length will be 7 and breadth will be 4?

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Ritvik Ranjan 6 years, 9 months ago

7m or 2m

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A toy is in the form of cylinder with a hemispher on one end and a cone on the another. The height and radius of base of cylindrical part are 13cm and 5cm respectively.the radius of hemisphere and cone are same.height of cone is 12cm. Calculate the surface area of toy

Posted by Vikrant Negi 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

S.P Singh 6 years, 9 months ago

770 cm²

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A line intersects the y-axis and x-axis at the points P and Q respectively .if (2,-5) is the midpoint of PQ, then find the coordinates of P and Q.

Posted by Siksha Upadhyay 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Let coordinate of P be (0, y) and of Q be (x,0)
A(2, -5) is mid - point of PQ.
By Section Formula,
(2, -5) = {tex}\left( \frac { 0 + x } { 2 } , \frac { y + 0 } { 2 } \right){/tex}
{tex}\therefore 2=\frac x2 \text{ and }-5=\frac y2{/tex}
x = 4 and y = -10.
Therefore, P is (0, -10) and Q is (4, 0).

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Do we have to write the sample space of dice in probability or just favorable outcomes❓❓❓❓⁉⁉

Posted by Xyz Abc 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Riya Jain 6 years, 9 months ago

Both

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Samyukta ... 6 years, 9 months ago

I think both...

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Important question of ch 6

Posted by Sachin Kanwar 6 years, 9 months ago

CBSE > Class 10 > Mathematics

5 answers

Diksha Kharwal 6 years, 9 months ago

These question is most important that is Pythagoras theorem , similar triangles and exercise 6.4 ka 7 question

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Anushka Jugran❣️ 6 years, 9 months ago

All theorems and last exercise questions..

1Thank You

Affu 😊 6 years, 9 months ago

Example and theorem are important

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Ayush Shukla???? 6 years, 9 months ago

All theorem and 6.5. 4 last question

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Sahil Rajput 6 years, 9 months ago

6.5 que 14,15,16

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Show that the cube of any positive integer is in the form of 9m, 9m+1, 9m+8....(ncert)...please koi explain kr do iss question ko....

Posted by Samyukta ... 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Samyukta ... 6 years, 9 months ago

Method bata do please...

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write the nature of the roots of the quadratic equation 4x²+4√3+3=0

Posted by Yukthi 5Th 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Manu Singh 6 years, 9 months ago

Two equal real roots

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Honey ??? 6 years, 9 months ago

2 equal real roots

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(sinA +cosecA) ²(cosA+secA)²=7+tan²A+cot²A

Posted by Mohit Rao 5 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Sahil Rajput 6 years, 9 months ago

Ncert ka question hy

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Sneha Singh?????? 6 years, 9 months ago

Check it on this appp

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Find value of k for which root of tha following quadratic equation is kx^-14x+8=0 is 2

Posted by Rahul Singh 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Mohit Rao 6 years, 9 months ago

Ncert ko hai

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Manav Patel 6 years, 9 months ago

K = 5

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Sintheta ÷1-cos theta +tantheta ÷1 +costheta =costheta×cosectheta+cottheta

Posted by Ritika Dimri 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Sahil Rajput 6 years, 9 months ago

Abe vedantu ka question yaha kyo kr rha hy

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If two zeroes of the polynomial x4_6x3+16x2+138x_35 are 2+_root3 find other zeroes

Posted by Vandana Kumari 6 years, 9 months ago

CBSE > Class 10 > Mathematics

5 answers

Sneha Singh?????? 6 years, 9 months ago

Ab x- 4x+1 se diye polynomial se divide kr do

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Sneha Singh?????? 6 years, 9 months ago

Let the other roots be ( x-2-√3) ( x-2+√3) = (X-2)² - (√3)² = X² -4x +1

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Honey ??? 6 years, 9 months ago

Poly. ko x^2-4x+1 se divide kar do ur quotient ko factorise

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Puja Sahoo 6 years, 9 months ago

Ncert ka question hai.....optional exercise check kijiye

2Thank You

Archana☺ Singh 6 years, 9 months ago

I think ur que is wrong. Check it again

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Ap.3;15;27;39 whos term ap;s terms54 high from132

Posted by Sonu Khatri 6 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Affu 😊 6 years, 9 months ago

a=3 , d= 12 , n = 54 , an=? ..... a54= 3+53x12 ..... a54= 639 , now 54th+ 132 , 639+132= 771 ... an=771 , 771 = 3+(n-1)x12 .... Then yha se n ki value 65 aayegi and whi answer hoga

1Thank You

Sonu Khatri 6 years, 9 months ago

Or iska answer hai 65term

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Puja Sahoo 6 years, 9 months ago

65th term

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At the foot of a mountain the elevation of its summit is 45° after ascending 1000 m towards mountain up a slope of 30° inclination , delegation is found to be 60° . Find the height of the mountain

Posted by Sneha Singh?????? 6 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Sneha Singh?????? 6 years, 9 months ago

But here how could I??!

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Harshita Jain 6 years, 9 months ago

Can you please explain?

1Thank You

Sneha Singh?????? 6 years, 9 months ago

Aur iska answer tha 500( √3 + 1)

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2x-3y=5 6y-4x=3 Show graphically that the system of linear equation

Posted by Sandip Singh 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Honey ??? 6 years, 9 months ago

Dono equation mein ek ek karke value dalo aur x,y ka value nikalo aur usko graph pe plot karo ,dono lines mein ya toh 1 jagah intersect krega, ya parallel hoga ya phir coinciding hoga bas uskr baad graph dekh ke likh dena jo bhi hoga

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Drashti Vaish 6 years, 9 months ago

Its is not possible to post graphi

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If the ratio of sum of first 'n' terms of 2 A.P.'s is (7n+1):(4n+27), then find the ratio of their 9th terms.

Posted by Harman Singh 6 years, 9 months ago

CBSE > Class 10 > Mathematics