Home
Class 12
MATHS
Let P, Q, R be three non-collinear point...

Let `P, Q, R` be three non-collinear points having rational coordinatse. (1) Coordinates of incentre of `DeltaPQR` are rational (2) Incentre of a triangle is the point of intersection of internal bisectors of angle of the triangle. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Assertion : A^-1 exists, Reason: |A|=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion : A^-1 exists, Reason: |A|=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If |A^2|=25 then A=+- 1/5 , Reason: |AB|=|A||B| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Tr(A)=0 Reason: |A|=1 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

Assertion: adj(adjA)=(det A)^(n-2)A Reason: |adjA|=|A|^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion:Points A,B,C are collinear, Reason: vec(AB)xxvec(AC)=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assetion: a_1,a_2,a_3,…………. an are not in G.P. Reason: a_(n+1)=a_n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: a^2,b^2,c^2 are in A.P., Reason: 1/(b+c), 1/(c+a), 1/(a+b) are in A.P. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion (A): Circumcentre of /_\POQ is (z_1+z_2)/2 , Reason (R): Circumcentre of a right triangle is the middle point of the hypotenuse. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Let O be the origin and P -= (a, a^2) . (1) If P(a, a^2) lies in the first quadrant between the lines y=x and y=2x , then 1ltalt2 . (2) Slope of OP is a . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true