Class 10

Math

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Quadratic Equations

The mentioned equation is in which form?

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$5,5r,5r_{2}$are sides of a triangle. Which value of r cannot be possible (a) $3/2$ (b) $5/4$ (c) $3/4$ (d) $7/4$

The smallest value of k, for which both the roots of the equation, $x_{2}−8kx+16(k_{2}−k+1)=0$ are real, distinct and have values at least 4, is

Solve the following equation for x: $9x_{2}−9(p+q)x+(2p_{2}+5pq+2q_{2})=0$

The difference of two numbers is 5 and the difference of their reciprocals is $101 $ Find the numbers.

Is the mathematical statement $(a+4)(a+2)=a_{2}+8$ correct? given the reasons to support your answer.

If ratio of the roots of the quadratic equation $3m_{2}x_{2}+m(m−4)x+2=0$ is $λ$ such that $λ+λ1 =1$ then least value of $m$ is (A) $−2−23 $ (B) $−2+23 $ (C) $4+32 $ (D) $4−32 $

Consider $p(m)=m_{2}−m+41$ (a) $P(3)$ is prime , is true and $P(5)$ is prime, is true (b) $P(3)$ is prime , is true and $P(5)$ is prime, is false (c) $P(3)$ is prime , is false and $P(5)$ is prime, is true (d) $P(3)$ is prime , is false and $P(5)$ is prime, is false