Request a call back

maths Asked by krishpatel20108 | 01 Jan, 2023, 07:56: PM Expert Answer
254 x + 309 y = -55   ...................................... (1)

309 x + 254 y = 55  .........................................(2)

By adding eqn.(1) and (2) , we get 563 x + 563 y = 0

Hence x + y = 0 or   x = -y

if we substitute x = -y in eqn.(1)  , we get y = -1, hence x = +1

---------------------------------------------------------------------------------------------------

Question 23

(x2 - 3 ) = 0

( x + √3 ) ( x - √3 ) = 0

hence x = ± √3

--------------------------------------

Question 24

If all the points are collinear , then a straight line ax +by + c = 0 is paasing through all the points

a x + b y + c = 0

Let us divide the above equation by a, then we get

x + (b/a ) y + ( c /a ) = 0  ..............................(1)

let ( b/a ) = p and ( c/a ) = q

Then using above substitution , we get

x + py = -q  ................................. (2)

if the point (1, 2 ) is on the line , then  1 + 2p = -q

2p +q = -1  ........................................ (3)

if the point (7, 0 ) is on the line , then  7 = -q

By substituting q = -7 in eqn.(3) , we get p = 3

Hence the relation between x and y is obtained from eqn.(2)

x + 3 y = 7

------------------------------------------------------------------------

Question 25 Fig.(1) shows two concentric eircles. Radius of inner circle is OA = b and
radius of outer circle OB = a.

Cord CB of bigger circle is touching smaller circle at A , Hence CB is tangent CB = 2 AB = -------------------------------------------------------

Fig.(2) shows that a tangent is drawn from P to a circle and this tangent meets the circle at Q.

QR is diamaeter of circle. POR = 110o ( given ) POQ = 180 - POR = 70o
ΔPOQ is right angled triangle  and Q is right angle .
Hence OPQ = 20o
-------------------------------------------------------------------------------------------

Question 26 ΔABC is right angled triangle right angled at C.

AB = 29 units ( given )

BC = 21 units ( given )

AC = cosθ = BC / AB = 21/29

sinθ = AC/AB = 20/29

cos2θ + sin2θ = (21/29)2 + (20/29)2 = 1

cos2θ - sin2θ = (21/29)2 - (20/29)2 = 0.048

Answered by Thiyagarajan K | 01 Jan, 2023, 11:37: PM
CBSE 10 - Maths
Asked by am.mansi628 | 29 Nov, 2023, 05:38: PM ANSWERED BY EXPERT
CBSE 10 - Maths
solve this Asked by simmysingh1aug | 21 Sep, 2023, 01:48: PM ANSWERED BY EXPERT
CBSE 10 - Maths
M alone a work comppet in 50 days the same work N complet in 100 days then they both are complet 25 days then what percent work the total work will be completed Asked by bhaveskumar9938 | 08 Jul, 2023, 05:40: AM ANSWERED BY EXPERT
CBSE 10 - Maths
maths Asked by krishpatel20108 | 01 Jan, 2023, 07:56: PM ANSWERED BY EXPERT
CBSE 10 - Maths
worksheet 1 question 1 Asked by bhawnabansal47809 | 01 Jun, 2022, 07:23: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by preetijain4723 | 27 Apr, 2022, 09:48: PM ANSWERED BY EXPERT
CBSE 10 - Maths
pls solve this math doubt Asked by dhruvdilipschool | 07 Mar, 2022, 11:37: AM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Senorita | 30 Dec, 2021, 11:23: AM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by hp8376321 | 08 Jul, 2021, 10:10: AM ANSWERED BY EXPERT
CBSE 10 - Maths
a/b + b/y = c.  And. b/x + a/y = 1/c find x and y  chapter:3 class 10  maths Asked by dhanviypatel | 24 May, 2021, 11:44: AM ANSWERED BY EXPERT