Prove x/a>y/b if x>y and b<0 ....

Prove `x/a`>`y/b` if `x>y` and `b<0` .

Text Solution

AI Generated Solution

Topper's Solved these Questions

GEOMETRY
PEARSON IIT JEE FOUNDATION|Exercise very short answer type question|25 Videos
GEOMETRY
PEARSON IIT JEE FOUNDATION|Exercise Short Answer Type Questions 31|9 Videos
Formulae
PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
INDICES
PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

Similar Questions

Explore conceptually related problems

Prove that the diagonals of the parallelogram formed by the lines x/a +y/b=1,x/b+y/a= 1, x/a + y/b = 2 and x/b + y/a = 2 are at right angles . Also find its area (a != b)

Prove that the line x/a + y/b =1 and x/b - y/a =1 are perpendicular to each other.

If x+y+z=0 prove that |a x b y c z c y a z b x b z c x a y|=x y z|a b cc a bb c a|

(i) If y = f(x) = (3x-1)/(5x-3) , prove that f(y) = x (ii) If y = f(x) = (ax -b)/(bx-a) , prove that f(y) = x

If a,b,c are in G.P.and x,y are the arithmetic means of a,b and b,c respectively, then prove that (a)/(x)+(c)/(y)=2 and (1)/(x)+(1)/(y)=(2)/(b)

If (x)/(l)+(y)/(m)=1 is any line passing through the intersection point of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 then prove that (1)/(l)+(1)/(m)=(1)/(a)+(1)/(b)

(i) If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay. (ii) If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal then prove that 3x =2y.

if (x)/(2)=(cosA)/(cosB) then prove that (x tan A+y tan B)/(x+y)=tan""(A+B)/(2)

a, b, x are in AP, a, b, y are in GP and a, b, z are in HP, then prove that 4z(x-y)(y-z)=y(x-z)^2 .

Prove that the parallelogram formed by the straight lines : (x)/(a)+(y)/(b)=1 , (x)/(b)+(y)/(a)=1 , (x)/(a)+(y)/(b)=2 and (x)/(b)+(y)/(a)=2 is a rhombus.

PEARSON IIT JEE FOUNDATION-GEOMETRY -CONCEPT APPLICATION (Level 1)

Prove x/a>y/b if x>y and b<0 .
Text Solution
|
In the figure below (not to scale) , bar(PQ)||bar(TS), reflex / QRS=30...
Text Solution
|
In a triangle ABC, if / A gt / B gt /C and the measures of /A , /B ...
Text Solution
|
In the above figure, / ABD =20^(@), / BDC =110^(@) and / DCA =30^(@) ....
Text Solution
|
In the figure below (not to scale), bar(MR )| bar(MP), bar(MQ) | bar(...
Text Solution
|
In the figure above (not to scale ) , overline(EF)||overline(GD),overl...
Text Solution
|
In the figure below, bar(BC)|| bar(EF),BC=EF and DF =AC. Which of the...
Text Solution
|
In the above figure (not to scale), E and F are the mid points of AB a...
Text Solution
|
What is the number of lines of symmetry for a parallelogram ?
Text Solution
|
Given below are some figures. Choose the image of the given figure to ...
Text Solution
|
In the given figure , PQ and RS are chords of length 10 cm each inters...
Text Solution
|
In the above figure (not to scale), O is the centre of the circle. bar...
Text Solution
|
In the above figure (not to scale), O is the centre of the circle. bar...
Text Solution
|
In the above figure , overline(AB)andoverline(AC) are equal chords an...
Text Solution
|
In the above figure, O is the centre of the circle and AB=CD. If / APB...
Text Solution
|
In the above diagram (not to scale), AB=AC=. O is the centre of the ci...
Text Solution
|
In the figure above (not to scale), AB=CD and /A =100^(@). / C =
Text Solution
|
In the above figure, ABCD is a cyclic quadrilateral and /BCD =2 / BAD....
Text Solution
|
In the below figure , one part of the line of symmetry is given . Re...
Text Solution
|
In the above figure , AB and CD are equal chords and O is the centre o...
Text Solution
|
In the given figure , angleDBA=2angleDAB=4angleCAD. If angleADC=120^(@...
Text Solution
|