Home
Class 12
MATHS
If a+b is along the angle bisector of a ...

If a+b is along the angle bisector of a and b, where `|a|=lamda|b|`, then the number of digits in value of `lamda` is

Text Solution

Verified by Experts

The correct Answer is:
1
Since, angle bisector of a and b
`impliesh(hata+hatb)=h((a)/(|a|)+(b)/(|b|))` . . . (i)
Given, a+b is alongg angle bisector
`implies mu((a)/(|a|)+(b)/(|b|))=a+b`
only, when `|a|=|b|=mu`
`therefore|a|=|b| implies lamda=1`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of rectangles excluding squares from a rectangle of size 11xx8 is 48lamda , then the value of lamda is

If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b , find a and b , where a is the minimum value & b is the If a maximum value.

IF 2x+y+lamda=0 is a normal to the parabola y^2=-8x , then the value of lamda is

If 2lamda is the number of ways of selecting 3 member subset of {1,2,3, . .,29}, so that the number form of a GP with integer common ration, then the value of lamda is

In the given figue vertices of DeltaABC lie on y=f(x)=ax^(2)+bx+c . The DeltaAB is right angled isosceles triangle whose hypotenuse AC=4sqrt(2) units. Number of integral value of lamda for which (lamda)/2 lies between the roots of f(x)=0 , is

12 boys and 2 girls are to be seated in a row such that there are atleast 3 boys between the 2 girls. The number of ways this can be done is lamdaxx12! . The value of lamda is

If a, b, c are three natural numbers in AP such that a + b + c=21 and if possible number of ordered triplet (a, b, c) is lambda , then the value of (lambda -5) is

If G and L are the greatest and least values of the expression (x^(2)-x+1)/(x^(2)+x+1), x epsilon R respectively then If L lt lamdalt G and lamda epsilon N , the sum of all values of lamda is

Let R be a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is

Let a,b,c,d be positive real numbers with altbltcltd . Given that a,b,c,d are the first four terms of an AP and a,b,d are in GP. The value of (ad)/(bc) is (p)/(q) , where p and q are prime numbers, then the value of q is