Home
Class 12
MATHS
P(1), P(2), P(3) are altitudes of a tria...

`P_(1), P_(2), P_(3)` are altitudes of a triangle ABC from the vertices A, B, C and `Delta` is the area of the triangle,
The value of `1/p_(1)^(2) + 1/p_(2)^(2) + 1/p_(3)^(2)` is equal to-

A

`(a+b+c)/Delta`

B

`(a^(2) + b^(2) +c^(2))/(4Delta^(2))`

C

`(a^(2) + b^(2) + c^(2))/Delta^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Integer Answer Type-|5 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of P_(1)^(-1) + P_(2)^(-1) + P_(3)^(-1) is equal to-

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of (cos A)/P_(1) + (cos B)/P_(2) + (cos C)/P_(3) is equal to-

If p_1,p_2,p_3 are altitudes of a triangle ABC from the vertices A,B,C respectively and Delta is the area of the triangle and s is semi perimeter of the triangle. If 1/p_1+1/p_2+1/p_3=1/2, then the least value of p_1p_2p_3 is

If P_1,P_2,P_3 be the altitudes of a triangle from the vertices A,B,C Respectively and Delta be the area the triangle, then prove that 1/P_1^2+1/P_2^2+1/P_3^3=(cotA+cotB+cotC)/Delta .

If p_1,p_2,p_3 are altitudes of a triangle ABC from the vertices A,B,C respectively and Delta is the area of the triangle and s is semi perimeter of the triangle The value of cosA/p_1+cosB/p_2+cosC/p_3 is

If A(1, 4, 2), B(-2, 1, 2) and C(2, -3, 4) are the vertices of the triangle ABC, then find the angles of the triangle ABC.

If P_1P_2P_3 are altitude of a triangle which circumscribes a circle of diameter 16/3 unit. then the least value of P_1+P_2+P_3 is

If the sides of the triangle ABC are p,q and sqrt(p^(2)+ pq+q^(2)), then the greatest angle of the triangle is-

If the angles of the triangle ABC are in A.P. and b:c= sqrt3:sqrt2 then find the value of angleA

The area of the triangle whose vertices are A(1,-1,2),B(2,1-1)C(3,-1,2) is …….