Home
Class 10
MATHS
Solve : 3( 2u +v) = 7uv 3(u + 3v...

Solve :
` 3( 2u +v) = 7uv `
` 3(u + 3v) = 11 uv `

Text Solution

Verified by Experts

The correct Answer is:
u = 1, v = `(3)/(2)`
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Very Short Answer Questions|9 Videos
  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

Solve :3(2u+v)=7u v , 3(u+3v)=11 u v

The circles x^2 + y^2 + 2ux + 2vy = 0 and x^2 + y^2 + 2u_1 x + 2v_1 y = 0 touch each other at (1, 1) if : (A) u + u_1 = v + v_1 (B) u + v = v_1 + u_1 (C) u/u_1 = v/v_1 (D) none of these

The component forms of vectors u and v are given by u = u = (:5,3:) and v = (:2,-7:) . Given that 2u + (-3v) + w = 0 , what is the component form of w?

Solve (i) 2 - 3/5 (ii) 4 + 7/8 (iii) 3/5 + 2/7 (iv) 9/11 - 4/5 (v) 7/10 + 2/5 + 3/2 (vi) (2) 2/3 + (3) 1/2 (vii) (8) 1/2 - (3) 5/8

Let V = {a , e , i , o, u} and B = {a , i , k , u} . Find V - B a n d B - V

Let y = uv be the product of the functions u and v . Find y'(2) if u(2) = 3, u'(2) = – 4, v(2) = 1, and v'(2) = 2.

Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d| vec w|=3. If the projection of vec v along vec u is equal to that of vec w along vec u and vectors vec va n d vec w are perpendicular to each other, then | vec u- vec v+ vec w| equals 2 b. sqrt(7) c. sqrt(14) d. 14

Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d| vec w|=3. If the projection of vec v along vec u is equal to that of vec w along vec u and vectors vec va n d vec w are perpendicular to each other, then | vec u- vec v+ vec w| equals 2 b. sqrt(7) c. sqrt(14) d. 14

Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system of equations u + 2y +3w = 6,4u + 5v + 6w =12 and 6u + 9v = 4 then show that the roots of the equation (1/u+1/v+/w)x^2+[(b-c)^2+(c-a)^2+(d-b)^2]x+u+v+w=0 and 20x^2+10(a-d)^2 x-9=0 are reciprocals of each other.

Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system of equations u + 2y +3w = 6,4u + 5v + 6w =12 and 6u + 9v = 4 then show that the roots of the equation (1/u+1/v+/w)x^2+[(b-c)^2+(c-a)^2+(d-b)^2]x+u+v+w=0 and 20x^2+10(a-d)^2 x-9=0 are reciprocals of each other.