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Problem
1.FIND THE VALUE OF k FOR WHICH THE TWO ROOTS OF THE QUADRATIC EQUATION $2x^{2}$ $-10x+k=0$ ARE REAL AND EQUAL. (2) SECTION B ANSWER ANY SIX : 2.IF ONE OF THE ROOTS OF THE QUADRATIC EQUATION $3x^{2}-10x+3=01s\dfrac {1} {3},THEN$ DETERMINE THE OTHER ROOT OF IT. (3) 3.SOLVE $FOR\times :$ $\dfrac {x+3} {x-3}+\dfrac {x-3} {x+3}=2\dfrac {1} {2}$ (3) OF THE QUADRATIC EQUATION $ax^{2}+bx+c=0$ THEN FIND $4.1Fa$ AND $BARE$ THE TWO ROOTS THJE VALUE OF $\left(\dfrac {1} {a^{2}}+\dfrac {1} {β^{3}}\right)$ IN TERMS OF $a.bANDC$ (3) 5.EXPRESS THE EQUATION $\left(x+2\right)^{3}=x\left(x^{2}-1\right)$ $x^{0}$ IN THE FORM $ax^{2}+bx+c=0$ $AN\square$ WRITE THE COEFFICIENTS $OFx^{2}$ $,\times AND$ (3) 6. DETERMINE THE ROOTS BY SRIDHAR ACHARYA FORMULA: $\left(4x-2\right)^{2}+6x=25$ $\left(3\right)$ 7.THE SUM OF A NUMBER AND ITS RECIPROCAL IS $2\dfrac {1} {30}$ „FIND THE NUMBER. (3) 8.THE PERIMETER OF A RECTANGULAR FIELD IS 82 CM AND ITS AREA $1s400$ SQUARE METER.FIND THE BREADTH OF THE RECTANGLE. (3)