Question
If the locus of the mid points of the chords of the ellipse
, drawn parallel to
is
then ![m subscript 1 end subscript m subscript 2 end subscript equals](data:image/png;base64,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)
The correct answer is: ![fraction numerator negative b to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAqCAYAAADBNhlmAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAAWhJREFUeNpjYBgY8B+KfwHxUSBWYRikgAmIs4D4HMMgBz8Gs+PsgfggPS38Bo06YoAkNA0q0ctxoMR+iUi1akC8BepIuoEAIF5OZMhtA2I+eqeneiCuBuJGIH4OTfz7sYQSyHEaA5HgVwHxXSAuB2JBaFrswxKq/7FguoBbQKyFJgaKxk+0LO3xYfRC9xsWczho5UBSgTk0vaEDSyDeOxgcGAnE87GIFwFx7WBw4CQgTkQTY4OWi5KDwYHroJnEBcqXhoolDpY69SUQ+0Ed+QeIL0AL7lEwCkYBvTsygwWPglEwYjLd6OjB6OjBQAO6jx6QAgZk9ACW8BuhjdRf0Map/GAZPWCAhsokpM75Kiyt5wEbPYiEOggZLARir8EyerAf2tdFBgexRPGAAfTxPxD7y2DKma/R+NaDrZZ4ygAZb4EB0KjBmsHkwGYgngmNWlC6WwrNsYMKVENzci00NF8O9k66KK0MBgBn2XxvuKCqrQAAAKd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1vPi08L21vPjxtc3VwPjxtaT5iPC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXJvdz48bXN1cD48bWk+YTwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21mcmFjPjwvbWF0aD6/UzfEAAAAAElFTkSuQmCC)
Related Questions to study
If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is .
If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is .