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A(a,0) and B(0,b) are points moving on the x and y axes respectively so that a+b=12. P is the midpoint of the interval joining A and B. Find the locus of P as A and B move along the x and y axes respectively.:confused: Can someone post a solution please?

Find the relationship between a and b in the equation ax² + bx + c when the: 1) larger root exceeds the smaller root by 1 2) roots are in the ratio 2:3 can someone help me? :confused: