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If the ellipse (x^2)/4+(y^2)/1=1 meets t...

If the ellipse `(x^2)/4+(y^2)/1=1` meets the ellipse `(x^2)/1+(y^2)/(a^2)=1` in four distinct points and `a=b^2-10 b+25` , then the number of integral values of `b` is `3` 2. `4` 3. `6` 4. `1` 5. infinite

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