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$\begin{aligned} & \text { To prove : } \frac{1+\sec \mathrm{A}}{\sec \mathrm{A}}=\frac{\sec ^{12} \mathrm{~A}}{1-\cos \mathrm{A}} \\ & \text { LHS } \frac{1+\sec \mathrm{A}}{\sec \mathrm{A}}=\frac{1+\frac{1}{\cos \mathrm{A}}}{\frac{1}{\cos \mathrm{A}}} \\ & =\frac{\frac{\cos \mathrm{A}+1}{\cos \mathrm{A}}}{\frac{1}{\cos \mathrm{A}}} \\ & =\frac{\cos \mathrm{A}+1}{\cos \mathrm{A}} \times \frac{\cos \mathrm{A}}{1} \\ & =1+\cos \mathrm{A} \\ & =1+\cos \mathrm{A} \times \frac{1-\cos \mathrm{A}}{1-\cos \mathrm{A}} \\ & =\frac{(1)^2-(\cos \mathrm{A})^2}{1-\cos \mathrm{A}} \\ & =\frac{1-\cos 2 \mathrm{~A}}{1-\cos \mathrm{A}} \end{aligned}$

$\begin{aligned} & =\frac{\sin ^2 \mathrm{~A}}{1-\cos \mathrm{A}} \\ & =\mathrm{RHS} \end{aligned}$

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P(x-4)(x-2) +(x-1)²=0

Posted by Ashutosh Singh 2 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 2 months ago

Given quadratic equation is p(x-4)(x-2)+(x-1)² = 0

=> p(x²-4x-2x+8)+(x²-2x+1) = 0

=> p(x²-6x+8)+(x²-2x+1) = 0

=> px²-6px+8p+x²-2x+1 = 0

=> (px²+x²)+(-6px-2x)+8p+1 = 0

=> (p+1)x²-(6p+2)x+(8p+1) = 0

On comparing with the standard quadratic equation is ax²+bx+c = 0 then

a = p+1

b = -(6p+2)

c = 8p+1

Given that

Given equation has real and equal roots

=> The discriminant = 0

We know that

The discriminant of ax²+bx+c = 0 is b²-4ac

Therefore, b²-4ac = 0

=> [-(6p+2)]²-4(p+1)(8p+1) = 0

=> (6p+2)²-4(p+1)(8p+1) = 0

=> (36p²+24p+4)-4(8p²+p+8p+1) = 0

=> (36p²+24p+4)-4(8p²+9p+1) = 0

=> 36p²+24p+4-32p²-36p-4 = 0

=> (36p²-32p²)+(24p-36p)+(4-4) = 0

=> 4p² -12p+0 = 0

=> 4p² - 12 p = 0

=> 4p(p-3) = 0

=> 4p = 0 or p-3 = 0

=> p = 0/4 or p = 3

=> p = 0 or p = 3

If p = 0 the term containing p doesn't exist .

Therefore, p = 3

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Right circular cone of 30 cm and small cone is cut of from top by a plane parallel to base if a value of small cone is 1/27volume of the given cone find at what height above section is made

Posted by Anuradha Kumari 2 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

𝕷𝖊𝖌𝖊𝖓𝖉 🏆 🍑 🎀 𝒜𝓁☯𝓃𝑒 𝑅𝒶𝓈𝒽𝒾 🎀 🍑 2 years, 2 months ago

Volume of a right circular cone= 3 1 πr 2 h So, volume of the big cone= 3 1 πr 2 (30) Volume of the small cone= 3 1 πr 2 h Given that, 27 1 ( 3 1 πr 2 (30))= 3 1 πr 2 h ⇒ 27 30 =hcm ∴ The height above the base of the section made is (30−h)cm ⇒30− 27 30⇒28.89cm Height from base. solution.

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Find the values of k for which x²-kx+4=0

Posted by Deepika Chowdary 2 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

Preeti Dabral 2 years, 2 months ago

To find the value of k

sol: A quadratic equation has equal real roots if the discriminant b²−4ac=0

x²−kx+4=0 is of form ax²+bx+c=0

∴a=1,b=−k,c=4

Hence the discriminant is

(−k)²−4(1)(4)=0⟹k²−16=0⟹k²=16

Therefore, k=±4

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Nikita Yadav 2 years, 2 months ago

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Jatin Bansal 2 years, 2 months ago

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What is quadratic formula?

Posted by Sonu Maurya 2 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

K_Hushii 🍁 2 years, 2 months ago

X =-b+√b^2-4ac - ______________ 2a

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Pragati Singh 2 years, 2 months ago

-B+√D/2A

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P Raval 2 years, 2 months ago

-B±√D/2A

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ANSWER

a100-2a99+a98=

Posted by Jiya Thakur 2 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Bipul Kumar 2 years, 2 months ago

a square= 295

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ANSWER

if alpha and beta are zeros in the quadratic polynomials of FX is equal to x square minus x minus 4 then the value of 1 upon alpha plus one upon beta minus alpha beta is

Posted by Gajendra Kaswan 2 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Vvhj Hhbh 2 years, 2 months ago

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Goku Saiyan 2 years, 2 months ago

15/4

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What is the formula to get to know the pairs are collinear pair?

Posted by Tilak Raj 2 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

Tilak Raj 2 years ago

x- x¹by x-x²equals to y-y¹by y-y² is also a formula 👍

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Tilak Raj 2 years ago

🤔

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P Raval 2 years, 2 months ago

When three points are on the same line is known as collinear. AB+BC=AC.

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Express 5050

Posted by Amulya Bn 2 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

RSPL/2

Posted by Amulya Bn 2 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

If cosec theta - sin theta = p and sec theta -cos theta = a then prove that (A) * p ^ 2 * q ^ 2 * (p ^ 2 + q ^ 2 + 3) = 1

Posted by Himanshu Raj 2 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see Fig. 10.14). Find the sides AB and AC.

Posted by Nitesh Singh 2 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

If y sin 45°cos 45°= tan²45°- cos²30°, then y =

Posted by Aditi Rathore 2 years, 2 months ago

CBSE > Class 10 > Mathematics

4 answers

Laxmikant Singh 2 years, 2 months ago

Y1/2

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Tilak Raj 2 years, 2 months ago

Y=1/2

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Abhinav Prakash 2 years, 2 months ago

Y=1/2

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Tanu Kumari 2 years, 2 months ago

Y=1/2

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Which sample paper book is best for class 10th

Posted by Shiva Yadav 2 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Tilak Raj 2 years, 2 months ago

You can go through nodia app which gives 30 sample papers with solutions. You can download from here https://play.google.com/store/apps/details?id=com.nodiaapp

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Abhinav Prakash 2 years, 2 months ago

Educart

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the no.of revolutions made by a circular wheel of radius 0.7m roling a distance of 176m is

Posted by Eben Roy 2 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Saumya Singh 2 years, 2 months ago

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Tanu Kumari 2 years, 2 months ago

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4x2 4x square - 20 X + 25 is equal to zero have real roots no real roots real and equal roots real and distinct roots

Posted by Hitesh Sharma 2 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Dharun Prakash K 2 years, 2 months ago

It has equal roots

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abx2 -(a+b)2 (x-1)=0

Posted by Ahmed Abbas 2 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

2y/y-3 + 1/2y-3 = -9-3y/(y-3)(2y-3)

Posted by Krishna Paliwal 2 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

If sinA=4/5 find tanA + cosA 2

Posted by जय श्री राम🚩🚩 .... 2 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Nandini . 2 years, 2 months ago

If sinA =4/5 Then according to pythagoras theorem H=5 P=4 B=3 TanA= p/b =4/3 CosA= b/h=3/5 TanA + cos2A= 4/3+ 2×3/5 =4/3+6/5 =20+18/15 =38/15

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Bhavik Kasana 2 years, 2 months ago

SinA = P/H , P = 4 , H = 5, find base by phythagoras theorem, simple👍

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The the difference between the length of the other side is 4 m find the sides

Posted by Hithu Mandavi 2 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Tilak Raj 2 years, 2 months ago

Question is incomplete

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Prove that 2root3 is irrational

Posted by Zamin Muhammed 2 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Jatin Bansal 2 years, 2 months ago

let us suppose 2√3 is a rational no then their positive integer a and b such that 2√3=a/b(where a and b are co-primes and their HCF=1) 2√3=a/b √3=a/2b From this, a/2b is a rational number. Also,√3 is rational number. But, we know √3 is an irrational number. So, our supposition is wrong. Hence, 2√3 is an irrational number. Hence proved

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Sumit _Yt 2 years, 2 months ago

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2x+3y=5 and 4x+6y=10 find x and y

Posted by Ruchitha H 2 years, 2 months ago

CBSE > Class 10 > Mathematics