Set, Relation and FunctionHard

Question

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which ′k′ can take is given by

Options

A.{1, 3}
B.{0, 2}
C.{-1, 3}
D.{-3, -2}

Solution

       
× 1(k - 1) = ± 1
K - 1 = ± 2
k = 3
k = - 1

Create a free account to view solution

View Solution Free
Topic: Set, Relation and Function·Practice all Set, Relation and Function questions

More Set, Relation and Function Questions

In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in physics, no student fa...Let R be a relation defined on the set $\{ 1,2,3,4\} \times \{ 1,2,3,4\}$ by$R = \{((a,b),(c,d)):2a + 3\text{ }b = 3c + ...Let ƒ : ℝ→ℝand g :ℝ→ℝ be two non-constant differentiable functions. If ƒ&#...Let $A = \{ 0,1,2,\ldots.9)$. Let R be a relation on A defined by $(x,y) \in R$ if and only if $|x - y|$ is a multiple o...If n(A) = 10, n(B) = 15 and n(A ∪ B) = x, then -...