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  • 1 answers

Manish Pandhyar 6 years, 7 months ago

Let 3 under root 6 be a rational no. 3 under root 6 = P/Q where p and q are co-prime numbers and Q is not equal to 0 3 under root 6= PQ Under root6=P/3Q Root 6 is irrational no So p/3q is also irrational no So there is contradiction 3 under root 6 is irrational number
  • 1 answers

Sia ? 6 years, 7 months ago

The given quadratic polynomial is 2x+ 5x + k.
If {tex}\alpha, \beta{/tex} are zeroes of quadratic polynomial
{tex}\alpha + \beta= \frac { - b } { a } = \frac { - 5 } { 2 } {/tex}
{tex} \alpha \beta= \frac { c } { a } = \frac { k } { 2 }{/tex}
Putting these values in {tex}( \alpha + \beta ) ^ { 2 } - \alpha \beta{/tex} = 24,
we get {tex}\left( \frac { - 5 } { 2 } \right) ^ { 2 } - \frac { k } { 2 } = 24 {/tex}
{tex}\Rightarrow \frac { 25 } { 4 } - \frac { k } { 2 } = 24{/tex}

{tex}\Rightarrow\frac { - k } { 2 } = 24 - \frac { 25 } { 4 }{/tex}
{tex}\Rightarrow \frac { - k } { 2 } = \frac { 96 - 25 } { 4 }{/tex}
{tex}\Rightarrow k = \frac { - 71 } { 4 } \times 2 = \frac { - 71 } { 2 }{/tex}

  • 1 answers

Sia ? 6 years, 7 months ago

On applying division lemma to 867 and 255

We get

867=255×3+102

255=102×2+51

102=51×2+0

Hence HCF(867,255)=51

  • 2 answers

Harsh Arora 6 years, 7 months ago

Today

Harsh Arora 6 years, 7 months ago

Tosay
  • 1 answers

Pranav Ramesh 6 years, 7 months ago

[1-cos square a]cosec a (Sin square a)cosec a (1÷cosec square a)cosec a (1÷cosec a) (Sin a
  • 1 answers

Sia ? 6 years, 7 months ago

{tex}2x + 3y - 4 = 0{/tex}

{tex}a_1= 2, b_1= 3, c_1 = 4{/tex}

{tex}(k + 2)x + 6y-(3k + 2)= 0{/tex}
{tex}a _ { 2 } = k + 2 , b _ { 2 } = 6 , c _ { 2 } = - ( 3 k + 2 ){/tex}

{tex}\frac { a _ { 1 } } { a _ { 2 } } = \frac { b _ { 1 } } { b _ { 2 } } = \frac { c _ { 1 } } { c _ { 2 } }{/tex}

or,  {tex}\frac { 2 } { k + 2 } = \frac { 3 } { 6 } = \frac { 4 } {- 3 k - 2 }{/tex}
Or, {tex}\frac { 2 } { k + 2 } = \frac { 3 } { 6 } {/tex}

or, {tex}3(k + 2) = 2 \times 6{/tex}

{tex}3k + 6 = 12{/tex}
{tex}3k = 12 - 6{/tex}

or, {tex}6 = 3k{/tex}

Hence,{tex} k = 2{/tex}

  • 1 answers

????? ? 6 years, 7 months ago

★If the 4 walls are square in shape, then find out the L.S.A. of cube=4a². ★If the 4 walls are rectangular in shape, then find out the L.S.A. of cuboid=2h(l+b).
  • 1 answers

????? ? 6 years, 7 months ago

A line segment which touches the circle at two points is called chord whereas a line which passes intersecting the circle at two points is called secant.
  • 2 answers

Harsh Arora 6 years, 7 months ago

Value put karke dekhni padegi

Khushi Agrawal 6 years, 7 months ago

Bhai mere ko bhi eska answer jaanna hai agar pataa chal jaye too mere ko bhi bataa dena please......
  • 1 answers

Anitadhy Mali 6 years, 7 months ago

21/3. Ha xnxn
  • 3 answers

Khushi Agrawal 6 years, 7 months ago

Bhai poraa ques.likho ye complete question nahi hai

Kapil Pandey 6 years, 7 months ago

No

Pritam Rakshit 6 years, 7 months ago

Is zero is prime number
  • 1 answers

Khushi Agrawal 6 years, 7 months ago

Bhai aapka question kya hai please tell me☺?
  • 1 answers

Sia ? 6 years, 7 months ago

L.H.S 
= (1 + cotA + tanA) (sinA - cosA)
= sinA - cosA + cotA sinA - cotA cosA + sinA tanA - tanA cosA
{tex}= \sin A - \cos A + \frac{{\cos A}}{{\sin A}} \times \sin A - \cot A\cos A + \sin A\;\tan A - \frac{{\sin A}}{{\cos A}} \times \cos A{/tex}
= sinA - cosA + cosA - cotA cosA + sinA tanA - sinA
=  sinA tanA - cotA cosA........(1)
Now taking ;
{tex}\quad \frac{{\sec A}}{{\cos e{c^2}A}} - \frac{{\cos ecA}}{{{{\sec }^2}A}}{/tex}
{tex} = \frac{{\frac{1}{{\cos A}}}}{{\frac{1}{{{{\sin }^2}A}}}} - \frac{{\frac{1}{{\sin A}}}}{{\frac{1}{{{{\cos }^2}A}}}}{/tex}
{tex} = \frac{{{{\sin }^2}A}}{{\cos A}} - \frac{{{{\cos }^2}A}}{{\sin A}}{/tex}
{tex} = \sin A \times \frac{{\sin A}}{{\cos A}} - \cos A \times \frac{{\cos A}}{{\sin A}}{/tex}
{tex} = \sin A \times \tan A - \cos A \times \cot A{/tex}.......(2)
From (1) & (2),
(1 + cotA + tanA) (sinA - cosA) = {tex}\frac { \sec A } { cosec ^ { 2 } A } - \frac { cosec A } { \sec ^ { 2 } A }{/tex} = sinA.tanA - cosA.cotA 
Hence, Proved.

  • 1 answers

Sia ? 6 years, 7 months ago

{tex}2x + 3y = 7{/tex}
{tex}(k - 1) x + (k + 2)y = 3k{/tex}
These are of the form
{tex}a_1x + b_1y + c_1 = 0 ,\ a_2x + b_2y + c_2 = 0{/tex}
where,
{tex}a_1= 2 ,\ b_1= 3,\ c_1 = -7,{/tex}
{tex}a_2=k - 1 \ ,b_2= k + 2 ,\ c_2 = -3k {/tex} for infinitely many solutions, we must have
{tex}\frac { a _ { 1 } } { a _ { 2 } } = \frac { b _ { 1 } } { b _ { 2 } } = \frac { c _ { 1 } } { c _ { 2 } }{/tex}
This hold only when
{tex}\frac { 2 } { k - 1 } = \frac { 3 } { k + 2 } = \frac { - 7 } { - 3 k }{/tex}
{tex}\frac { 2 } { k - 1 } = \frac { 3 } { k + 2 } = \frac { 7 } { 3 k }{/tex}
Now the following cases arises:
Case I:
{tex}\frac { 2 } { k - 1 } = \frac { 3 } { k + 2 }{/tex}
{tex}\Rightarrow{/tex}2(k + 2) = 3(k -1)

{tex}\Rightarrow{/tex}2k + 4= 3k - 3
{tex}\Rightarrow{/tex} k = 7
Case II:
{tex}\frac { 3 } { k + 2 } = \frac { 7 } { 3 k }{/tex}

{tex}\Rightarrow{/tex}7(k + 2) = 9k

{tex}\Rightarrow{/tex}7k + 14= 9k
{tex}\Rightarrow{/tex} k = 7
Case III:
{tex}\frac { 2 } { k - 1 } = \frac { 7 } { 3 k }{/tex}
{tex}\Rightarrow{/tex} 
7k - 7 = 6k
{tex}\Rightarrow{/tex} k = 7
For k = 7, there are infinitely many solutions of the given system of equations.

  • 1 answers

Sia ? 6 years, 7 months ago

{tex}k = \frac { - 1 } { 2 }{/tex}
 

  • 9 answers

Yash Bastawale,? 6 years, 7 months ago

Hey tell me, i m in 10 nd now my summer vacations is going?so how to utilize this time . I wnt to score upto90%. Give me some advice ,

Yash Bastawale,? 6 years, 7 months ago

Nd my name is yash

Yash Bastawale,? 6 years, 7 months ago

Yes gust 2 days have passed to download this app

Kishu ? 6 years, 7 months ago

Are you new in this app?

Kishu ? 6 years, 7 months ago

Yes ritesh

Yash Bastawale,? 6 years, 7 months ago

Hey , kishu . Have u crossed u r board examinations of 10

Kishu ? 6 years, 7 months ago

?

Yash Bastawale,? 6 years, 7 months ago

?thanks ,

Kishu ? 6 years, 7 months ago

Dekhiye ap panic mat hoiye...ap pehle acche se ncert kariye...aur haan rd sharma me bohat saare concepts extra bhi hai jo 10th level ke nahi hai...jitna ncert me hai utna basics practice kariye...aur sample papers solve karo jyada sd jyada...isse apko paper ka level pata chalega..and dnt be panic..just chill...?hope it helps u out
  • 0 answers
  • 1 answers

Sia ? 6 years, 7 months ago

Let α=4 - {tex}\sqrt 5{/tex}
and β = 4 + {tex}\sqrt 5{/tex}
Sum of zeroes,
α+β = 4 - {tex}\sqrt 5{/tex} + 4 + {tex}\sqrt 5{/tex} = 8
αβ = (4 - {tex}\sqrt 5{/tex})(4 + {tex}\sqrt 5{/tex}) = 16 - 5 = 11
Quadratic polynomial
p(x) = x2 - (α+β)x +αβ
= x2 - 8x + 11

  • 1 answers

Gaurav Seth 6 years, 7 months ago

SIMILAR QUESTION: If d is the hcf of 45 and 27,find x and y satisfying d= 27x+45y

The numbers are :-
45 and 27

Lets find their HCF

BY Euclid's division Lemma :-
a = bq + r
45 = 27 x 1 + 18
27 = 18 x 1 + 9
18 = 9 x 2 + 0
HCF = d = 9
Given:-
d = 27x+45y
9 = 27x + 45y
9 = 27 - 18 x 1
18 = 45 - 27 x 1 
Therefore ,
9 = 27 - [ 45 x 27 x 1 ] x 1
= 27 x 2 - 45 
9 = 27 x 2 + 45 x [ -1 ]

x = 2
y = -1

  • 1 answers

Gaurav Seth 6 years, 7 months ago

PQR is a triangle right angled at P and M is a point on QR such that PM  QR. Show that PM2 = QM x MR.

Ans. Given: PQR is a triangle right angles at P and PMQR

To Prove: PM2 = QM.MR

Proof: Since PMQR
 QMPPMR
 
 

  • 2 answers

Ashwini Ghorpade 6 years, 7 months ago

2x+y+3x-y=14+6 5y=20 Y=4 2x+y=6 2x+4=6 2x=6/4 X=6/4*2 X=3/4

Krrish Garg 6 years, 7 months ago

2x+y=6 3x-y=14 _________ -X = 20 By subing the value of x in 1 2×20+y=6 Y=46
  • 1 answers

Chhaya Malhotra 6 years, 7 months ago

X=29/3=9.66(approx.)
  • 5 answers

Palak Bansal 6 years, 7 months ago

Hours does not depends for study . Its how much you learn or understand during your study time. We have to focus on our studies.

Palak Bansal 6 years, 7 months ago

It depends on you. That how much you can concentrate in studies. How much you can study. It depends on your choice. From my point of view.

Ravenclaw_? Raunak_ 6 years, 7 months ago

It doesn't matter how long u study ..... instead it matters how effectively u study !!!!

Thapki❤️ Thapki❤️ 6 years, 7 months ago

sorry my question is that How many hour is better for study??

Kishu ❤ 6 years, 7 months ago

Sorry, not able to understand yur ques..!!
  • 4 answers

Amira [Amu] 6 years, 7 months ago

Kiska loss bhaiya??

Ruhi ?? 6 years, 7 months ago

Hlo

Thapki❤️ Thapki❤️ 6 years, 7 months ago

What loss??

Riya....... ❤️? 6 years, 7 months ago

...? Kiska loss...

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