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Vector Equation for Straight Line

ntFind The nu...

Question

ntFind The number of values of c such that the straight line 3x+4y=c touches the curve x/2=x+y .n

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Q. The number of values of c such that the straight line

3 x + 4 y = c

touches the curve

\frac{x^{4}}{2} = x + y

Q. The number of values of

c

such that the straight line

y = 4 x + c

touches the curve

\frac{x^{2}}{4} + y^{2} = 1

Q. The number of values of

c

such that the straight line

y = 2 x + c

touches the curve

4 x^{2} + y^{2} = 4

Q. The values that m can take so that the straight line

y = 4 x + m

touches the curve

x^{2} + 4 y^{2} = 4

Q. If the straight line y = mx + c touches the circle

x^{2} + y^{2} - 4 y = 0,

then the value of c will be

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