Home
Class 11
MATHS
Value of 1/(r(1)^2)+ 1/(r(2)^2)+ 1/(r(3...

Value of `1/(r_(1)^2)+ 1/(r_(2)^2)+ 1/(r_(3)^2)+ 1/(r_()^2)` is :

A

0

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Write ‘True’ or ‘False’ and justify your answer: The volume of the frustum of a cone (1)/(3)pi h(r_(1)^(2)+r_(2)^(2)-r_(1)r_(2)) where h is the vertical height of the frustum and r_(1),r_(2) are the radii of the ends.

The differintial eauation of all circle of radius r, is given by (a) {1+(y_(1))^(2)}^(2)=r^(2)y_(2)^(3) (b) {1+(y_(1))^(2)}^(3)=r^(2)y_(2)^(3) ( c ) {1+(y_(1))^(2)}^(3)=r^(2)y_(2)^(2) (d) None of these

Prove that if two bubbles of radii r_(1) and r_(2)(r_(1)ltr_(2)) come in contact with each other then the radius of curvature of the common surface r=(r_(1)r_(2))/(r_(2)-r_(1))

An equilateral triangle has each of its sides of length 4 cm. If (x_(r),y_(r)) (r=1,2,3) are its vertices the value of |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|^2

Two resistors of resistances R_(1)=100pm3 ohm and R_(2)=200pm4 ohm are connected (a) series , (b) in parallel. Find the equivalent resistance of the (a) series combination, (b) parallel combination. Use for (a) the relation R = R_(1)+R_(2) and for (b) (1)/(R') = (1)/(R_(1))+(1)/(R_(2)) and (DeltaR')/(R'^(2)) = (DeltaR_(1))/(R_(1)^(2))+(DeltaR_(2))/(R_(2))

From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 cm^(3) s^(-1) . The diffusion of another gas under the same conditions is measured to have an average rate of 7.2 cm^(3) s^(-1) . Identify the gas. [Hint : Use Graham's law of diffusion: R_(1)//R_(2) = (M_(2) //M_(1) )^(1//2) , where R_(1), R_(2) , are diffusion rates of gases 1 and 2, and M_(1) and M_(2) their respective molecular masses. The law is a simple consequence of kinetic theory.]

Statement I In a Delta ABC, if a lt b lt c and ri si inradius and r_(1), r_(2) ,r_(3) are the exradii opposite to angle A,B,C respectively, then r lt r_(1) lt r_(2) lt r_(3). Statement II For, DeltaABC r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)

Two satellites of masses of m_(1) and m_(2)(m_(1)gtm_(2)) are revolving round the earth in circular orbits of radius r_(1) and r_(2)(r_(1)gtr_(2)) respectively. Which of the following statements is true regarding their speeds v_(1) and v_(2) ?

Supposing Newton's Law of gravitation for gravitation forces F_1 and F_2 between two masses my and m, at positions r_1 and r_2 read F_1=-F_2=-(r_(12))/(r_(12^3))GM_0^2((m_1m_2)/(M_0^2))^(2) where M_0 is a constant of dimension of mass, r_(12) =r_1 -r_2 and n is a number. In such a case,

In the circuit shown here, E_(1) = E_(2) = E_(3) = 2 V and R_(1) = R_(2) = 4 ohms . The current flowing between point A and B through battery E_(2) is